Hultgren, Jakob; Jonsson, Mattias; Mazzon, Enrica; McCleerey, Nicholas Tropical and non-Archimedean Monge-Ampère equations for a class of Calabi-Yau hypersurfaces. (English) Zbl 07807346 Adv. Math. 439, Article ID 109494, 42 p. (2024). MSC: 14J32 14J33 32P05 32Q25 53A15 05E14 14T90 PDFBibTeX XMLCite \textit{J. Hultgren} et al., Adv. Math. 439, Article ID 109494, 42 p. (2024; Zbl 07807346) Full Text: DOI arXiv
Andreasson, Rolf; Hultgren, Jakob; Jonsson, Mattias; Mazzon, Enrica; McCleerey, Nicholas Regularity of the solution to a real Monge–Ampère equation on the boundary of a simplex. arXiv:2403.01620 Preprint, arXiv:2403.01620 [math.AP] (2024). MSC: 35J96 53A15 14J32 14J33 14T90 32Q25 BibTeX Cite \textit{R. Andreasson} et al., ``Regularity of the solution to a real Monge--Amp\`ere equation on the boundary of a simplex'', Preprint, arXiv:2403.01620 [math.AP] (2024) Full Text: arXiv OA License
Cueto, Maria Angelica; Popescu-Pampu, Patrick; Stepanov, Dmitry The Milnor fiber conjecture of Neumann and Wahl, and an overview of its proof. (English) Zbl 07814246 Papadopoulos, Athanase (ed.), Essays in geometry. Dedicated to Norbert A’Campo. Berlin: European Mathematical Society. IRMA Lect. Math. Theor. Phys. 34, 629-710 (2023). MSC: 14B05 14T90 32S05 14M25 57M15 PDFBibTeX XMLCite \textit{M. A. Cueto} et al., IRMA Lect. Math. Theor. Phys. 34, 629--710 (2023; Zbl 07814246) Full Text: DOI arXiv
Krasikov, Vitaly A. A survey on computational aspects of polynomial amoebas. (English) Zbl 07734146 Math. Comput. Sci. 17, No. 3-4, Paper No. 16, 19 p. (2023). MSC: 14J81 14P25 14Q15 14T90 32A08 68W40 PDFBibTeX XMLCite \textit{V. A. Krasikov}, Math. Comput. Sci. 17, No. 3--4, Paper No. 16, 19 p. (2023; Zbl 07734146) Full Text: DOI arXiv
Kutler, Max; Usatine, Jeremy Motivic zeta functions of hyperplane arrangements. (English) Zbl 1522.14069 Math. Proc. Camb. Philos. Soc. 175, No. 1, 187-215 (2023). Reviewer: Peter Petrov (Sofia) MSC: 14N20 14E18 32S22 05E14 14T20 PDFBibTeX XMLCite \textit{M. Kutler} and \textit{J. Usatine}, Math. Proc. Camb. Philos. Soc. 175, No. 1, 187--215 (2023; Zbl 1522.14069) Full Text: DOI arXiv
Shen, Dali The moduli space of the tropicalizations of Riemann surfaces. (English) Zbl 07694747 Manuscr. Math. 171, No. 3-4, 397-422 (2023). MSC: 14Txx 32G15 05Cxx PDFBibTeX XMLCite \textit{D. Shen}, Manuscr. Math. 171, No. 3--4, 397--422 (2023; Zbl 07694747) Full Text: DOI arXiv
Sattelberger, Anna-Laura; van der Veer, Robin Maximum likelihood estimation from a tropical and a Bernstein-Sato perspective. (English) Zbl 1518.14083 Int. Math. Res. Not. 2023, No. 6, 5263-5292 (2023). MSC: 14T90 14Q15 62R01 14T20 14E18 14F10 32S40 PDFBibTeX XMLCite \textit{A.-L. Sattelberger} and \textit{R. van der Veer}, Int. Math. Res. Not. 2023, No. 6, 5263--5292 (2023; Zbl 1518.14083) Full Text: DOI arXiv
Bao, Jiakang; He, Yang-Hui; Hirst, Edward Neurons on amoebae. (English) Zbl 1519.14063 J. Symb. Comput. 116, 1-38 (2023). Reviewer: Michele Cirafici (Trieste) MSC: 14T90 32A27 68T07 81T30 PDFBibTeX XMLCite \textit{J. Bao} et al., J. Symb. Comput. 116, 1--38 (2023; Zbl 1519.14063) Full Text: DOI arXiv
Lim, Yen-Kheng; Nisse, Mounir (Co)Amoebas, singularities, and torus links. arXiv:2311.11835 Preprint, arXiv:2311.11835 [math.AG] (2023). MSC: 14T99 32S55 BibTeX Cite \textit{Y.-K. Lim} and \textit{M. Nisse}, ``(Co)Amoebas, singularities, and torus links'', Preprint, arXiv:2311.11835 [math.AG] (2023) Full Text: arXiv OA License
Andreasson, Rolf; Hultgren, Jakob Solvability of Monge-Ampère equations and tropical affine structures on reflexive polytopes. arXiv:2303.05276 Preprint, arXiv:2303.05276 [math.DG] (2023). MSC: 14J32 14J33 32Q25 35J96 53A15 14T90 BibTeX Cite \textit{R. Andreasson} and \textit{J. Hultgren}, ``Solvability of Monge-Amp\`ere equations and tropical affine structures on reflexive polytopes'', Preprint, arXiv:2303.05276 [math.DG] (2023) Full Text: arXiv OA License
Nisse, Mounir; Sottile, Frank Describing amoebas. (English) Zbl 1490.14101 Pac. J. Math. 317, No. 1, 187-205 (2022). MSC: 14T99 32A27 32A60 PDFBibTeX XMLCite \textit{M. Nisse} and \textit{F. Sottile}, Pac. J. Math. 317, No. 1, 187--205 (2022; Zbl 1490.14101) Full Text: DOI arXiv
Arnal, Charles; Renaudineau, Arthur; Shaw, Kris Lefschetz section theorems for tropical hypersurfaces. (Théorème de la section hyperplane de Lefschetz pour les hypersurfaces tropicales.) (English. French summary) Zbl 1502.14151 Ann. Henri Lebesgue 4, 1347-1387 (2021). Reviewer: Cristhian Garay (Guanajuato) MSC: 14T15 58A14 32S60 PDFBibTeX XMLCite \textit{C. Arnal} et al., Ann. Henri Lebesgue 4, 1347--1387 (2021; Zbl 1502.14151) Full Text: DOI arXiv
Ruddat, Helge A homology theory for tropical cycles on integral affine manifolds and a perfect pairing. (English) Zbl 1490.14062 Geom. Topol. 25, No. 6, 3079-3132 (2021). MSC: 14J32 05E45 14D06 14T20 32S60 55U10 14J33 14M25 PDFBibTeX XMLCite \textit{H. Ruddat}, Geom. Topol. 25, No. 6, 3079--3132 (2021; Zbl 1490.14062) Full Text: DOI arXiv
Burgos Gil, José Ignacio; Gubler, Walter; Jell, Philipp; Künnemann, Klaus A comparison of positivity in complex and tropical toric geometry. (English) Zbl 1478.14090 Math. Z. 299, No. 3-4, 1199-1255 (2021). Reviewer: Thomas Blomme (Paris) MSC: 14T10 14T25 14M25 14G22 14-02 14G40 32U05 32U40 PDFBibTeX XMLCite \textit{J. I. Burgos Gil} et al., Math. Z. 299, No. 3--4, 1199--1255 (2021; Zbl 1478.14090) Full Text: DOI arXiv
Forsgård, Jens Discriminant amoebas and lopsidedness. (English) Zbl 1475.14118 J. Commut. Algebra 13, No. 1, 41-60 (2021). MSC: 14T10 14M25 32G34 55R80 52B20 PDFBibTeX XMLCite \textit{J. Forsgård}, J. Commut. Algebra 13, No. 1, 41--60 (2021; Zbl 1475.14118) Full Text: DOI
Ergür, Alperen A.; Paouris, Grigoris; Rojas, J. Maurice Correction to: “Tropical varieties for exponential sums”. (English) Zbl 1474.14082 Math. Ann. 380, No. 3-4, 2073-2077 (2021). MSC: 14T10 14Q20 32A60 PDFBibTeX XMLCite \textit{A. A. Ergür} et al., Math. Ann. 380, No. 3--4, 2073--2077 (2021; Zbl 1474.14082) Full Text: DOI
Suciu, Alexander I. Sigma-invariants and tropical varieties. (English) Zbl 1482.20027 Math. Ann. 380, No. 3-4, 1427-1463 (2021). Reviewer: Eva Elduque (Madrid) MSC: 20J05 14T20 32Q15 32S22 55N25 57M05 57M07 57K31 PDFBibTeX XMLCite \textit{A. I. Suciu}, Math. Ann. 380, No. 3--4, 1427--1463 (2021; Zbl 1482.20027) Full Text: DOI arXiv
Suen, Yat-Hin Reconstruction of holomorphic tangent bundle of complex projective plane via tropical Lagrangian multi-section. (Reconstruction of holomoprhic tangent bundle of complex projective plane via tropical Lagrangian multi-section.) (English) Zbl 1467.53090 New York J. Math. 27, 1096-1114 (2021). MSC: 53D37 14J33 53-11 14J32 53D40 14T20 32Q25 PDFBibTeX XMLCite \textit{Y.-H. Suen}, New York J. Math. 27, 1096--1114 (2021; Zbl 1467.53090) Full Text: arXiv Link
Odaka, Yuji; Oshima, Yoshiki Collapsing \(K3\) surfaces, tropical geometry and moduli compactifications of Satake, Morgan-Shalen type. (English) Zbl 1474.14064 MSJ Memoirs 40. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-104-1/pbk). x, 165 p. (2021). Reviewer: Felix Röhrle (Frankfurt am Main) MSC: 14J28 14J33 14T20 14H15 32M15 32Q25 53C26 PDFBibTeX XMLCite \textit{Y. Odaka} and \textit{Y. Oshima}, Collapsing \(K3\) surfaces, tropical geometry and moduli compactifications of Satake, Morgan-Shalen type. Tokyo: Mathematical Society of Japan (2021; Zbl 1474.14064) Full Text: DOI arXiv
Möller, Martin; Ulirsch, Martin; Werner, Annette Realizability of tropical canonical divisors. (English) Zbl 1466.14033 J. Eur. Math. Soc. (JEMS) 23, No. 1, 185-217 (2021). Reviewer: Dawei Chen (Chestnut Hill) MSC: 14H15 14H10 32G15 PDFBibTeX XMLCite \textit{M. Möller} et al., J. Eur. Math. Soc. (JEMS) 23, No. 1, 185--217 (2021; Zbl 1466.14033) Full Text: DOI arXiv
Vilsmeier, Christian A comparison of the real and non-Archimedean Monge-Ampère operator. (English) Zbl 1457.32057 Math. Z. 297, No. 1-2, 633-668 (2021). MSC: 32P05 32W20 PDFBibTeX XMLCite \textit{C. Vilsmeier}, Math. Z. 297, No. 1--2, 633--668 (2021; Zbl 1457.32057) Full Text: DOI arXiv
Pokora, Piotr Hirzebruch-type inequalities viewed as tools in combinatorics. (English) Zbl 1461.52025 Electron. J. Comb. 28, No. 1, Research Paper P1.9, 22 p. (2021). Reviewer: C. P. Anil Kumar (Chennai) MSC: 52C35 14N20 52C30 32S22 14T20 PDFBibTeX XMLCite \textit{P. Pokora}, Electron. J. Comb. 28, No. 1, Research Paper P1.9, 22 p. (2021; Zbl 1461.52025) Full Text: DOI arXiv
Cueto, Maria Angelica; Popescu-Pampu, Patrick; Stepanov, Dmitry Local tropicalizations of splice type surface singularities. arXiv:2108.05912 Preprint, arXiv:2108.05912 [math.AG] (2021). MSC: 14B05 14T90 32S05 14M25 57M15 BibTeX Cite \textit{M. A. Cueto} et al., ``Local tropicalizations of splice type surface singularities'', Preprint, arXiv:2108.05912 [math.AG] (2021) Full Text: DOI arXiv OA License
Mihatsch, Andreas \(\delta\)-Forms on Lubin–Tate Space. arXiv:2112.10018 Preprint, arXiv:2112.10018 [math.AG] (2021). MSC: 14G40 32P99 14T90 BibTeX Cite \textit{A. Mihatsch}, ``$\delta$-Forms on Lubin--Tate Space'', Preprint, arXiv:2112.10018 [math.AG] (2021) Full Text: arXiv OA License
Lim, Yen-Kheng; Nisse, Mounir Light-ring pairs from \(A\)-discriminantal varieties. arXiv:2107.07652 Preprint, arXiv:2107.07652 [gr-qc] (2021). MSC: 14T05 32A60 BibTeX Cite \textit{Y.-K. Lim} and \textit{M. Nisse}, ``Light-ring pairs from $A$-discriminantal varieties'', Preprint, arXiv:2107.07652 [gr-qc] (2021) Full Text: DOI arXiv OA License
Gil, José Ignacio Burgos; Gubler, Walter; Jell, Philipp; Künnemann, Klaus Pluripotential theory for tropical toric varieties and non-archimedean Monge-Ampére equations. arXiv:2102.07392 Preprint, arXiv:2102.07392 [math.AG] (2021). MSC: 32P05 32U05 14T90 32W20 BibTeX Cite \textit{J. I. B. Gil} et al., ``Pluripotential theory for tropical toric varieties and non-archimedean Monge-Amp\'ere equations'', Preprint, arXiv:2102.07392 [math.AG] (2021) Full Text: arXiv OA License
García Barroso, Evelia R.; González Pérez, Pedro D.; Popescu-Pampu, Patrick The combinatorics of plane curve singularities. (English) Zbl 1482.14034 Cisneros-Molina, José Luis (ed.) et al., Handbook of geometry and topology of singularities I. Cham: Springer. 1-150 (2020). Reviewer: Caterina Cumino (Torino) MSC: 14H20 14M25 14T15 14B05 14E15 32S25 14-02 PDFBibTeX XMLCite \textit{E. R. García Barroso} et al., in: Handbook of geometry and topology of singularities I. Cham: Springer. 1--150 (2020; Zbl 1482.14034) Full Text: DOI arXiv
Abouzaid, Mohammed; Ganatra, Sheel; Iritani, Hiroshi; Sheridan, Nick The gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods. (English) Zbl 1467.14097 Geom. Topol. 24, No. 5, 2547-2602 (2020). MSC: 14J33 14T20 53D37 11G42 32G20 PDFBibTeX XMLCite \textit{M. Abouzaid} et al., Geom. Topol. 24, No. 5, 2547--2602 (2020; Zbl 1467.14097) Full Text: DOI arXiv
Chan, Kwokwai; Ma, Ziming Nikolas Tropical counting from asymptotic analysis on Maurer-Cartan equations. (English) Zbl 1471.14085 Trans. Am. Math. Soc. 373, No. 9, 6411-6450 (2020). Reviewer: Hulya Arguz (London) MSC: 14J33 32G05 14M25 14N10 53D37 14N35 14T15 PDFBibTeX XMLCite \textit{K. Chan} and \textit{Z. N. Ma}, Trans. Am. Math. Soc. 373, No. 9, 6411--6450 (2020; Zbl 1471.14085) Full Text: DOI arXiv
Macpherson, Andrew W. Skeleta in non-Archimedean and tropical geometry. (English. French summary) Zbl 1497.14127 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 2, 431-506 (2020). MSC: 14T20 14G22 32P05 PDFBibTeX XMLCite \textit{A. W. Macpherson}, Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 2, 431--506 (2020; Zbl 1497.14127) Full Text: DOI arXiv
Jell, Philipp Constructing smooth and fully faithful tropicalizations for Mumford curves. (English) Zbl 1440.14283 Sel. Math., New Ser. 26, No. 4, Paper No. 60, 23 p. (2020). MSC: 14T25 14G22 32P05 14T15 14T20 PDFBibTeX XMLCite \textit{P. Jell}, Sel. Math., New Ser. 26, No. 4, Paper No. 60, 23 p. (2020; Zbl 1440.14283) Full Text: DOI arXiv
Ergür, Alperen A.; Paouris, Grigoris; Rojas, J. Maurice Tropical varieties for exponential sums. (English) Zbl 1454.14153 Math. Ann. 377, No. 3-4, 863-882 (2020); correction ibid. 380, No. 3-4, 2073-2077 (2021). MSC: 14T10 14Q20 32A60 PDFBibTeX XMLCite \textit{A. A. Ergür} et al., Math. Ann. 377, No. 3--4, 863--882 (2020; Zbl 1454.14153) Full Text: DOI arXiv
Shen, Linhui; Weng, Daping Cyclic sieving and cluster duality of Grassmannian. (English) Zbl 1471.13048 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 067, 41 p. (2020). Reviewer: Hulya Arguz (London) MSC: 13F60 05E10 14J33 14M15 14N35 14T99 32G81 PDFBibTeX XMLCite \textit{L. Shen} and \textit{D. Weng}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 067, 41 p. (2020; Zbl 1471.13048) Full Text: DOI arXiv
Juhnke-Kubitzke, Martina; de Wolff, Timo Intersections of amoebas. (English. French summary) Zbl 1435.32008 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 659-670 (2020). MSC: 32A60 14T20 32P05 PDFBibTeX XMLCite \textit{M. Juhnke-Kubitzke} and \textit{T. de Wolff}, in: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4--8, 2016. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 659--670 (2020; Zbl 1435.32008) Full Text: arXiv Link
Draisma, Jan; Rau, Johannes; Yuen, Chi Ho The dimension of an amoeba. (English) Zbl 1442.14193 Bull. Lond. Math. Soc. 52, No. 1, 16-23 (2020). MSC: 14T10 14P25 32A60 PDFBibTeX XMLCite \textit{J. Draisma} et al., Bull. Lond. Math. Soc. 52, No. 1, 16--23 (2020; Zbl 1442.14193) Full Text: DOI arXiv
Liu, Yifeng Tropical cycle classes for non-Archimedean spaces and weight decomposition of de Rham cohomology sheaves. (English) Zbl 1453.14150 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 291-352 (2020). MSC: 14T20 14G22 32C99 PDFBibTeX XMLCite \textit{Y. Liu}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 291--352 (2020; Zbl 1453.14150) Full Text: DOI
Jonsson, Mattias; Nicaise, Johannes Convergence of \(p\)-adic pluricanonical measures to Lebesgue measures on skeleta in Berkovich spaces. (Convergence des mesures pluricanoniques \(p\)-adiques vers des mesures de Lebesgue sur des squelettes dans les espaces de Berkovich.) (English. French summary) Zbl 1430.14056 J. Éc. Polytech., Math. 7, 287-336 (2020). MSC: 14G22 14J32 32P05 14T25 PDFBibTeX XMLCite \textit{M. Jonsson} and \textit{J. Nicaise}, J. Éc. Polytech., Math. 7, 287--336 (2020; Zbl 1430.14056) Full Text: DOI arXiv
Caputo, Raffaele The isotopy problem for the phase tropical line. (English) Zbl 1441.14206 Beitr. Algebra Geom. 61, No. 1, 89-116 (2020). MSC: 14T20 32A60 PDFBibTeX XMLCite \textit{R. Caputo}, Beitr. Algebra Geom. 61, No. 1, 89--116 (2020; Zbl 1441.14206) Full Text: DOI arXiv
Berkovich, Vladimir G. (ed.); Gubler, Walter (ed.); Schneider, Peter (ed.); Werner, Annette (ed.) Non-Archimedean geometry and applications. Abstracts from the workshop held February 24 – March 2, 2019. (English) Zbl 1439.00047 Oberwolfach Rep. 16, No. 1, 513-575 (2019). MSC: 00B05 00B25 14-06 14G22 03C98 11G20 11G25 14Txx 32P05 14F20 14G20 PDFBibTeX XMLCite \textit{V. G. Berkovich} (ed.) et al., Oberwolfach Rep. 16, No. 1, 513--575 (2019; Zbl 1439.00047) Full Text: DOI
Hamidine, Ibrahima Mellin’s currential approaches in a non Archimedean framework. (Approches courantielles à la Mellin dans un cadre non archimédien.) (French. English summary) Zbl 1429.32035 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 2, 357-396 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 32U25 32U35 32U40 14G22 14G40 14T25 PDFBibTeX XMLCite \textit{I. Hamidine}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 2, 357--396 (2019; Zbl 1429.32035) Full Text: DOI arXiv
Nisse, Mounir; Sadykov, Timur Amoeba-shaped polyhedral complex of an algebraic hypersurface. (English) Zbl 1423.32010 J. Geom. Anal. 29, No. 2, 1356-1368 (2019). Reviewer: Piotr Pokora (Kraków) MSC: 32A60 32B20 PDFBibTeX XMLCite \textit{M. Nisse} and \textit{T. Sadykov}, J. Geom. Anal. 29, No. 2, 1356--1368 (2019; Zbl 1423.32010) Full Text: DOI arXiv
Ulirsch, Martin Non-Archimedean geometry of Artin fans. (English) Zbl 1505.14131 Adv. Math. 345, 346-381 (2019). MSC: 14T20 14A21 14T25 14A20 32P05 PDFBibTeX XMLCite \textit{M. Ulirsch}, Adv. Math. 345, 346--381 (2019; Zbl 1505.14131) Full Text: DOI arXiv
Jell, Philipp Tropical Hodge numbers of non-Archimedean curves. (English) Zbl 1440.14282 Isr. J. Math. 229, No. 1, 287-305 (2019). MSC: 14T25 32P05 14G22 PDFBibTeX XMLCite \textit{P. Jell}, Isr. J. Math. 229, No. 1, 287--305 (2019; Zbl 1440.14282) Full Text: DOI arXiv
Gunn, Trevor; Jell, Philipp Construction of Fully Faithful Tropicalizations for Curves in Ambient Dimension 3. arXiv:1912.02648 Preprint, arXiv:1912.02648 [math.AG] (2019). MSC: 14T05 14G22 32P05 BibTeX Cite \textit{T. Gunn} and \textit{P. Jell}, ``Construction of Fully Faithful Tropicalizations for Curves in Ambient Dimension 3'', Preprint, arXiv:1912.02648 [math.AG] (2019) Full Text: arXiv OA License
Odaka, Yuji; Oshima, Yoshiki Collapsing \(K3\) surfaces and moduli compactification. (English) Zbl 1411.14043 Proc. Japan Acad., Ser. A 94, No. 8, 81-86 (2018). MSC: 14J28 14J33 14T05 14H15 32M15 53C26 32Q25 PDFBibTeX XMLCite \textit{Y. Odaka} and \textit{Y. Oshima}, Proc. Japan Acad., Ser. A 94, No. 8, 81--86 (2018; Zbl 1411.14043) Full Text: DOI arXiv Euclid
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii [Viro, Oleg] Singular algebraic curves. With an appendix by Oleg Viro. (English) Zbl 1411.14001 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-03349-1/hbk; 978-3-030-03350-7/ebook). xx, 553 p. (2018). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14-02 14Bxx 14Pxx 32Sxx 58Kxx PDFBibTeX XMLCite \textit{G.-M. Greuel} et al., Singular algebraic curves. With an appendix by Oleg Viro. Cham: Springer (2018; Zbl 1411.14001) Full Text: DOI
Crétois, Rémi; Lang, Lionel The vanishing cycles of curves in toric surfaces. I. (English) Zbl 1403.14097 Compos. Math. 154, No. 8, 1659-1697 (2018). Reviewer: Keyvan Yaghmayi (Salt Lake City) MSC: 14T05 14M25 32S30 PDFBibTeX XMLCite \textit{R. Crétois} and \textit{L. Lang}, Compos. Math. 154, No. 8, 1659--1697 (2018; Zbl 1403.14097) Full Text: DOI arXiv
Jell, Philipp; Wanner, Veronika Poincaré duality for the tropical Dolbeault cohomology of non-Archimedean Mumford curves. (English) Zbl 1398.32031 J. Number Theory 187, 344-371 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 32C37 14T05 14G22 14G40 PDFBibTeX XMLCite \textit{P. Jell} and \textit{V. Wanner}, J. Number Theory 187, 344--371 (2018; Zbl 1398.32031) Full Text: DOI arXiv
Esterov, Alexander Characteristic classes of affine varieties and Plücker formulas for affine morphisms. (English) Zbl 1472.14006 J. Eur. Math. Soc. (JEMS) 20, No. 1, 15-59 (2018). MSC: 14C17 32M10 14T15 14M25 14M10 14N15 PDFBibTeX XMLCite \textit{A. Esterov}, J. Eur. Math. Soc. (JEMS) 20, No. 1, 15--59 (2018; Zbl 1472.14006) Full Text: DOI arXiv
Esterov, Alexander The ring of local tropical fans and tropical nearby monodromy eigenvalues. arXiv:1807.00609 Preprint, arXiv:1807.00609 [math.AG] (2018). MSC: 14T05 14M25 14D05 32S40 14C17 BibTeX Cite \textit{A. Esterov}, ``The ring of local tropical fans and tropical nearby monodromy eigenvalues'', Preprint, arXiv:1807.00609 [math.AG] (2018) Full Text: arXiv OA License
Cao, Tingbin; Zheng, Jianhua Second main theorem with tropical hypersurfaces and defect relation. arXiv:1806.04294 Preprint, arXiv:1806.04294 [math.CV] (2018). MSC: 32H30 30D35 14T05 BibTeX Cite \textit{T. Cao} and \textit{J. Zheng}, ``Second main theorem with tropical hypersurfaces and defect relation'', Preprint, arXiv:1806.04294 [math.CV] (2018) Full Text: DOI arXiv OA License
De Wolff, Timo Amoebas and their tropicalizations – a survey. (English) Zbl 1404.32011 Andersson, Mats (ed.) et al., Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer (ISBN 978-3-319-52469-6/hbk; 978-3-319-52471-9/ebook). Trends in Mathematics, 157-190 (2017). MSC: 32A60 32P05 32-02 PDFBibTeX XMLCite \textit{T. De Wolff}, in: Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer. 157--190 (2017; Zbl 1404.32011) Full Text: DOI
Nisse, Mounir; Passare, Mikael Amoebas and coamoebas of linear spaces. (English) Zbl 1404.14072 Andersson, Mats (ed.) et al., Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer (ISBN 978-3-319-52469-6/hbk; 978-3-319-52471-9/ebook). Trends in Mathematics, 63-80 (2017). MSC: 14T05 32A60 PDFBibTeX XMLCite \textit{M. Nisse} and \textit{M. Passare}, in: Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer. 63--80 (2017; Zbl 1404.14072) Full Text: DOI arXiv
Babaee, Farhad; Huh, June A tropical approach to a generalized Hodge conjecture for positive currents. (English) Zbl 1396.14064 Duke Math. J. 166, No. 14, 2749-2813 (2017). Reviewer: Keyvan Yaghmayi (Salt Lake City) MSC: 14T05 32U40 14M25 42B05 14C30 PDFBibTeX XMLCite \textit{F. Babaee} and \textit{J. Huh}, Duke Math. J. 166, No. 14, 2749--2813 (2017; Zbl 1396.14064) Full Text: DOI arXiv
Boucksom, Sébastien; Jonsson, Mattias Tropical and non-Archimedean limits of degenerating families of volume forms. (English. French summary) Zbl 1401.32019 J. Éc. Polytech., Math. 4, 87-139 (2017). Reviewer: Anna Fino (Torino) MSC: 32Q25 14J32 14T05 53C23 32P05 14G22 PDFBibTeX XMLCite \textit{S. Boucksom} and \textit{M. Jonsson}, J. Éc. Polytech., Math. 4, 87--139 (2017; Zbl 1401.32019) Full Text: DOI arXiv
Johansson, Petter; Samuelsson Kalm, Håkan A Ronkin type function for coamoebas. (English) Zbl 1362.32020 J. Geom. Anal. 27, No. 1, 643-670 (2017). MSC: 32U40 14T05 05A20 PDFBibTeX XMLCite \textit{P. Johansson} and \textit{H. Samuelsson Kalm}, J. Geom. Anal. 27, No. 1, 643--670 (2017; Zbl 1362.32020) Full Text: DOI arXiv
Stapledon, Alan Formulas for monodromy. (English) Zbl 1401.14049 Res. Math. Sci. 4, Paper No. 8, 42 p. (2017). MSC: 14C30 14T05 32S40 PDFBibTeX XMLCite \textit{A. Stapledon}, Res. Math. Sci. 4, Paper No. 8, 42 p. (2017; Zbl 1401.14049) Full Text: DOI arXiv
Gubler, Walter; Künnemann, Klaus A tropical approach to nonarchimedean Arakelov geometry. (English) Zbl 1386.14096 Algebra Number Theory 11, No. 1, 77-180 (2017). Reviewer: Nikita Kalinin (Col. San Pedro Zacatenco) MSC: 14G40 14G22 14T05 32P05 PDFBibTeX XMLCite \textit{W. Gubler} and \textit{K. Künnemann}, Algebra Number Theory 11, No. 1, 77--180 (2017; Zbl 1386.14096) Full Text: DOI arXiv
Abakumov, Evgeny; Doubtsov, Evgueni Growth of proper holomorphic maps and tropical power series. (Croissance d’applications holomorphes propres et séries entières tropicales.) (English. French summary) Zbl 1380.32019 C. R., Math., Acad. Sci. Paris 354, No. 5, 465-469 (2016). MSC: 32H02 14T05 PDFBibTeX XMLCite \textit{E. Abakumov} and \textit{E. Doubtsov}, C. R., Math., Acad. Sci. Paris 354, No. 5, 465--469 (2016; Zbl 1380.32019) Full Text: DOI
Foster, Tyler; Ranganathan, Dhruv Hahn analytification and connectivity of higher rank tropical varieties. (English) Zbl 1379.14031 Manuscr. Math. 151, No. 3-4, 353-374 (2016). MSC: 14T05 32P05 PDFBibTeX XMLCite \textit{T. Foster} and \textit{D. Ranganathan}, Manuscr. Math. 151, No. 3--4, 353--374 (2016; Zbl 1379.14031) Full Text: DOI arXiv
Filippini, Sara Angela; Stoppa, Jacopo TBA type equations and tropical curves. (English) Zbl 1365.14086 Int. J. Math. 27, No. 7, Article ID 1640005, 19 p. (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 14T05 14N35 14D05 14H70 18E10 34M50 32A99 PDFBibTeX XMLCite \textit{S. A. Filippini} and \textit{J. Stoppa}, Int. J. Math. 27, No. 7, Article ID 1640005, 19 p. (2016; Zbl 1365.14086) Full Text: DOI arXiv
Korhonen, Risto; Tohge, Kazuya Second main theorem in the tropical projective space. (English) Zbl 1379.14033 Adv. Math. 298, 693-725 (2016). MSC: 14T05 32H30 30D35 PDFBibTeX XMLCite \textit{R. Korhonen} and \textit{K. Tohge}, Adv. Math. 298, 693--725 (2016; Zbl 1379.14033) Full Text: DOI arXiv
Baker, Matthew (ed.); Payne, Sam (ed.) Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. (English) Zbl 1354.14004 Simons Symposia. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). xiv, 526 p. (2016). MSC: 14-06 14T05 14G22 32P05 32C18 00B25 PDFBibTeX XMLCite \textit{M. Baker} (ed.) and \textit{S. Payne} (ed.), Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer (2016; Zbl 1354.14004) Full Text: DOI
Jonsson, Mattias Degenerations of amoebae and Berkovich spaces. (English) Zbl 1375.14214 Math. Ann. 364, No. 1-2, 293-311 (2016). MSC: 14T05 32P05 14G22 14M25 32A60 PDFBibTeX XMLCite \textit{M. Jonsson}, Math. Ann. 364, No. 1--2, 293--311 (2016; Zbl 1375.14214) Full Text: DOI arXiv
Nisse, Mounir Amoeba basis of zero-dimensional varieties. (English) Zbl 1405.14142 J. Pure Appl. Algebra 220, No. 3, 1252-1257 (2016). MSC: 14T05 32A60 PDFBibTeX XMLCite \textit{M. Nisse}, J. Pure Appl. Algebra 220, No. 3, 1252--1257 (2016; Zbl 1405.14142) Full Text: DOI
Kim, Young Rock; Nisse, Mounir Geometry and a natural symplectic structure of phase tropical hypersurfaces. arXiv:1609.02181 Preprint, arXiv:1609.02181 [math.AG] (2016). MSC: 14T05 32A60 53D40 BibTeX Cite \textit{Y. R. Kim} and \textit{M. Nisse}, ``Geometry and a natural symplectic structure of phase tropical hypersurfaces'', Preprint, arXiv:1609.02181 [math.AG] (2016) Full Text: arXiv OA License
Berkovich, Vladimir G. (ed.); Gubler, Walter (ed.); Schneider, Peter (ed.); Werner, Annette (ed.) Non-Archimedean geometry and applications. Abstracts from the workshop held December 13–19, 2015. (English) Zbl 1380.00031 Oberwolfach Rep. 12, No. 4, 3271-3331 (2015). MSC: 00B05 00B25 03C98 11G20 11G25 14F20 14G20 32P05 14-06 14G22 14T05 14J33 PDFBibTeX XMLCite \textit{V. G. Berkovich} (ed.) et al., Oberwolfach Rep. 12, No. 4, 3271--3331 (2015; Zbl 1380.00031) Full Text: DOI
Muzika Dizdarević, Manuela; Živaljević, Rade T. Symmetric polyomino tilings, tribones, ideals, and Gröbner bases. (English) Zbl 1461.52021 Publ. Inst. Math., Nouv. Sér. 98(112), 1-23 (2015). MSC: 52C20 13P10 52C30 32S22 14T20 PDFBibTeX XMLCite \textit{M. Muzika Dizdarević} and \textit{R. T. Živaljević}, Publ. Inst. Math., Nouv. Sér. 98(112), 1--23 (2015; Zbl 1461.52021) Full Text: DOI arXiv EMIS
Yu, Tony Yue Tropicalization of the moduli space of stable maps. (English) Zbl 1375.14220 Math. Z. 281, No. 3-4, 1035-1059 (2015). MSC: 14T05 14G22 14H15 03C98 03C10 32B20 PDFBibTeX XMLCite \textit{T. Y. Yu}, Math. Z. 281, No. 3--4, 1035--1059 (2015; Zbl 1375.14220) Full Text: DOI arXiv Link
Martin, Florent A note on tropicalization in the context of Berkovich spaces. (English) Zbl 1349.14101 Isr. J. Math. 210, 323-334 (2015). MSC: 14G22 14T05 03C10 32B20 32P05 PDFBibTeX XMLCite \textit{F. Martin}, Isr. J. Math. 210, 323--334 (2015; Zbl 1349.14101) Full Text: DOI
Ulirsch, Martin Tropical geometry of moduli spaces of weighted stable curves. (English) Zbl 1349.14197 J. Lond. Math. Soc., II. Ser. 92, No. 2, 427-450 (2015). MSC: 14T05 14H10 32G15 14D15 32P05 PDFBibTeX XMLCite \textit{M. Ulirsch}, J. Lond. Math. Soc., II. Ser. 92, No. 2, 427--450 (2015; Zbl 1349.14197) Full Text: DOI arXiv
Nisse, Mounir; Sottile, Frank Higher convexity of coamoeba complements. (English) Zbl 1349.32006 Bull. Lond. Math. Soc. 47, No. 5, 853-865 (2015). MSC: 32A60 14T05 32A27 32C30 PDFBibTeX XMLCite \textit{M. Nisse} and \textit{F. Sottile}, Bull. Lond. Math. Soc. 47, No. 5, 853--865 (2015; Zbl 1349.32006) Full Text: DOI arXiv
Welliaveetil, John Finite morphisms between projective varieties and skeleta. (English) Zbl 1432.14021 Proc. Lond. Math. Soc. (3) 110, No. 4, 965-999 (2015). MSC: 14G22 14T15 14T25 03C98 32P05 PDFBibTeX XMLCite \textit{J. Welliaveetil}, Proc. Lond. Math. Soc. (3) 110, No. 4, 965--999 (2015; Zbl 1432.14021) Full Text: DOI arXiv
Forsgård, Jens; Johansson, Petter On the order map for hypersurface coamoebas. (English) Zbl 1354.32003 Ark. Mat. 53, No. 1, 79-104 (2015). MSC: 32A99 14T05 32A27 PDFBibTeX XMLCite \textit{J. Forsgård} and \textit{P. Johansson}, Ark. Mat. 53, No. 1, 79--104 (2015; Zbl 1354.32003) Full Text: DOI arXiv
Kazarnovskii, B. Ya Action of the complex Monge-Ampère operator on piecewise-linear functions and exponential tropical varieties. (English. Russian original) Zbl 1328.32007 Izv. Math. 78, No. 5, 902-921 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 5, 53-74 (2014). MSC: 32W20 14T05 14M25 52A39 PDFBibTeX XMLCite \textit{B. Y. Kazarnovskii}, Izv. Math. 78, No. 5, 902--921 (2014; Zbl 1328.32007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 5, 53--74 (2014) Full Text: DOI
Isaev, A. V. On two methods for reconstructing homogeneous hypersurface singularities from their Milnor algebras. (English) Zbl 1311.13032 Methods Appl. Anal. 21, No. 3, 391-406 (2014). Reviewer: Jan Stevens (Göteborg) MSC: 13H10 32S25 13A50 14B05 PDFBibTeX XMLCite \textit{A. V. Isaev}, Methods Appl. Anal. 21, No. 3, 391--406 (2014; Zbl 1311.13032) Full Text: DOI
Kiselman, Christer O. Questions inspired by Mikael Passare’s mathematics. (English) Zbl 1300.32006 Afr. Mat. 25, No. 2, 271-288 (2014). MSC: 32C30 32A60 14T05 14P25 14H45 32U05 90C10 90C15 PDFBibTeX XMLCite \textit{C. O. Kiselman}, Afr. Mat. 25, No. 2, 271--288 (2014; Zbl 1300.32006) Full Text: DOI
Cueto, Maria Angelica; Häbich, Mathias; Werner, Annette Faithful tropicalization of the Grassmannian of planes. (English) Zbl 1310.14049 Math. Ann. 360, No. 1-2, 391-437 (2014). Reviewer: Mustafa Hakan Güntürkün (İzmir) MSC: 14T05 14M15 14G22 32C18 PDFBibTeX XMLCite \textit{M. A. Cueto} et al., Math. Ann. 360, No. 1--2, 391--437 (2014; Zbl 1310.14049) Full Text: DOI arXiv
Forsgård, Jens; Johansson, Petter Coamoebas and line arrangements in dimension two. (English) Zbl 1328.14097 Math. Z. 278, No. 1-2, 25-38 (2014). MSC: 14T05 32S22 52C30 PDFBibTeX XMLCite \textit{J. Forsgård} and \textit{P. Johansson}, Math. Z. 278, No. 1--2, 25--38 (2014; Zbl 1328.14097) Full Text: DOI
Adiprasito, Karim Alexander; Björner, Anders Filtered geometric lattices and Lefschetz Section Theorems over the tropical semiring. arXiv:1401.7301 Preprint, arXiv:1401.7301 [math.AG] (2014). MSC: 32S50 05B35 14T05 06A11 32S60 58A14 57Q05 BibTeX Cite \textit{K. A. Adiprasito} and \textit{A. Björner}, ``Filtered geometric lattices and Lefschetz Section Theorems over the tropical semiring'', Preprint, arXiv:1401.7301 [math.AG] (2014) Full Text: arXiv OA License
Madani, Farid; Nisse, Lamine; Nisse, Mounir A tropical characterization of complex analytic varieties to be algebraic. arXiv:1407.6459 Preprint, arXiv:1407.6459 [math.AG] (2014). MSC: 14T05 32A60 BibTeX Cite \textit{F. Madani} et al., ``A tropical characterization of complex analytic varieties to be algebraic'', Preprint, arXiv:1407.6459 [math.AG] (2014) Full Text: arXiv OA License
Nisse, Mounir Amoeba finite basis of solutions to a system of \(n\) polynomials in \(n\) variables. arXiv:1404.3593 Preprint, arXiv:1404.3593 [math.AG] (2014). MSC: 14T05 32A60 BibTeX Cite \textit{M. Nisse}, ``Amoeba finite basis of solutions to a system of $n$ polynomials in $n$ variables'', Preprint, arXiv:1404.3593 [math.AG] (2014) Full Text: arXiv OA License
Babaee, Farhad Complex Tropical Currents, Extremality, and Approximations. arXiv:1403.7456 Preprint, arXiv:1403.7456 [math.CV] (2014). MSC: 32C30 14T05 42B05 14M25 BibTeX Cite \textit{F. Babaee}, ``Complex Tropical Currents, Extremality, and Approximations'', Preprint, arXiv:1403.7456 [math.CV] (2014) Full Text: arXiv OA License
Nisse, Mounir Amoeba finite basis does not exist in general. arXiv:1403.3912 Preprint, arXiv:1403.3912 [math.AG] (2014). MSC: 14T05 32A60 BibTeX Cite \textit{M. Nisse}, ``Amoeba finite basis does not exist in general'', Preprint, arXiv:1403.3912 [math.AG] (2014) Full Text: arXiv OA License
Nisse, Mounir; Sottile, Frank Non-Archimedean coamoebae. (English) Zbl 1320.14077 Amini, Omid (ed.) et al., Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (ISBN 978-1-4704-1021-6/pbk). Contemporary Mathematics 605. Centre de Recherches Mathématiques Proceedings, 73-91 (2013). MSC: 14T05 32A60 52C35 32P05 PDFBibTeX XMLCite \textit{M. Nisse} and \textit{F. Sottile}, Contemp. Math. 605, 73--91 (2013; Zbl 1320.14077) Full Text: DOI arXiv
Popescu-Pampu, Patrick; Stepanov, Dmitry Local tropicalization. (English) Zbl 1318.14062 Brugallé, Erwan (ed.) et al., Algebraic and combinatorial aspects of tropical geometry. Proceedings based on the CIEM workshop on tropical geometry, International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain, December 12–16, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9146-9/pbk; 978-1-4704-0940-1/ebook). Contemporary Mathematics 589, 253-316 (2013). Reviewer: Martin Ulirsch (Providence) MSC: 14T05 14M25 32S05 PDFBibTeX XMLCite \textit{P. Popescu-Pampu} and \textit{D. Stepanov}, Contemp. Math. 589, 253--316 (2013; Zbl 1318.14062) Full Text: arXiv
Gubler, Walter A guide to tropicalizations. (English) Zbl 1318.14061 Brugallé, Erwan (ed.) et al., Algebraic and combinatorial aspects of tropical geometry. Proceedings based on the CIEM workshop on tropical geometry, International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain, December 12–16, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9146-9/pbk; 978-1-4704-0940-1/ebook). Contemporary Mathematics 589, 125-189 (2013). Reviewer: Martin Ulirsch (Providence) MSC: 14T05 14M25 32P05 PDFBibTeX XMLCite \textit{W. Gubler}, Contemp. Math. 589, 125--189 (2013; Zbl 1318.14061) Full Text: arXiv
Madani, Farid; Nisse, Mounir Generalized logarithmic Gauss map and its relation to (co)amoebas. (English) Zbl 1284.14089 Math. Nachr. 286, No. 14-15, 1510-1513 (2013). Reviewer: Martin Ulirsch (Providence) MSC: 14T05 32A60 PDFBibTeX XMLCite \textit{F. Madani} and \textit{M. Nisse}, Math. Nachr. 286, No. 14--15, 1510--1513 (2013; Zbl 1284.14089) Full Text: DOI arXiv
Brugallé, Erwan (ed.); Cueto, María Angélica (ed.); Dickenstein, Alicia (ed.); Feichtner, Eva-Maria (ed.); Itenberg, Ilia (ed.) Algebraic and combinatorial aspects of tropical geometry. Proceedings based on the CIEM workshop on tropical geometry, International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain, December 12–16, 2011. (English) Zbl 1266.14003 Contemporary Mathematics 589. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9146-9/pbk; 978-1-4704-0940-1/ebook). x, 350 p. (2013). MSC: 14-06 14T05 14M25 14C30 32P05 32S05 05E45 12J20 51M20 00B25 PDFBibTeX XMLCite \textit{E. Brugallé} (ed.) et al., Algebraic and combinatorial aspects of tropical geometry. Proceedings based on the CIEM workshop on tropical geometry, International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain, December 12--16, 2011. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1266.14003) Full Text: DOI
Nisse, Mounir; Sottile, Frank The phase limit set of a variety. (English) Zbl 1277.14048 Algebra Number Theory 7, No. 2, 339-352 (2013). MSC: 14T05 32A60 PDFBibTeX XMLCite \textit{M. Nisse} and \textit{F. Sottile}, Algebra Number Theory 7, No. 2, 339--352 (2013; Zbl 1277.14048) Full Text: DOI arXiv
Madani, Farid; Nisse, Mounir On the volume of complex amoebas. (English) Zbl 1303.14068 Proc. Am. Math. Soc. 141, No. 4, 1113-1123 (2013). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14T05 32A60 PDFBibTeX XMLCite \textit{F. Madani} and \textit{M. Nisse}, Proc. Am. Math. Soc. 141, No. 4, 1113--1123 (2013; Zbl 1303.14068) Full Text: DOI arXiv
Bushueva, N. A.; Tsikh, A. K. On amoebas of algebraic sets of higher codimension. (English. Russian original) Zbl 1312.14135 Proc. Steklov Inst. Math. 279, 52-63 (2012); translation from Tr. Mat. Inst. Steklova 279, 59-71 (2012). Reviewer: Ivan Bazhov (Carouge) MSC: 14P25 14M10 32C99 14T05 PDFBibTeX XMLCite \textit{N. A. Bushueva} and \textit{A. K. Tsikh}, Proc. Steklov Inst. Math. 279, 52--63 (2012; Zbl 1312.14135); translation from Tr. Mat. Inst. Steklova 279, 59--71 (2012) Full Text: DOI
Nishinou, Takeo Disk counting on toric varieties via tropical curves. (English) Zbl 1284.14077 Am. J. Math. 134, No. 6, 1423-1472 (2012). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14N35 14M25 14T05 32Q65 53D12 PDFBibTeX XMLCite \textit{T. Nishinou}, Am. J. Math. 134, No. 6, 1423--1472 (2012; Zbl 1284.14077) Full Text: DOI arXiv
Lagerberg, Aron Super currents and tropical geometry. (English) Zbl 1318.32040 Math. Z. 270, No. 3-4, 1011-1050 (2012). MSC: 32U05 31C10 14T05 52A99 PDFBibTeX XMLCite \textit{A. Lagerberg}, Math. Z. 270, No. 3--4, 1011--1050 (2012; Zbl 1318.32040) Full Text: DOI arXiv
Katz, Eric; Stapledon, Alan Tropical geometry and the motivic nearby fiber. (English) Zbl 1249.14021 Compos. Math. 148, No. 1, 269-294 (2012). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14T05 14D05 14D07 32G20 PDFBibTeX XMLCite \textit{E. Katz} and \textit{A. Stapledon}, Compos. Math. 148, No. 1, 269--294 (2012; Zbl 1249.14021) Full Text: DOI arXiv
Yau, Shing-Tung A survey of Calabi-Yau manifolds. (English) Zbl 1260.53006 Ji, Lizhen (ed.), Geometry and analysis, No. 2. Collected papers of the conference “Geometric analysis: Present and future” on the occasion of Shing-Tung Yau’s 60th birthday, Harvard University, Cambridge, MA, USA, August 27–September 1, 2008. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-225-1/pbk). Advanced Lectures in Mathematics (ALM) 18, 521-563 (2011). Reviewer: Vasile Oproiu (Iaşi) MSC: 53-02 32Q25 53D45 14J32 PDFBibTeX XMLCite \textit{S.-T. Yau}, Adv. Lect. Math. (ALM) 18, 521--563 (2011; Zbl 1260.53006)
Baier, Thomas; Florentino, Carlos; Mourão, José M.; Nunes, João P. Toric Kähler metrics seen from infinity, quantization and compact tropical amoebas. (English) Zbl 1261.53081 J. Differ. Geom. 89, No. 3, 411-454 (2011). MSC: 53D50 14T05 14M25 32Q15 PDFBibTeX XMLCite \textit{T. Baier} et al., J. Differ. Geom. 89, No. 3, 411--454 (2011; Zbl 1261.53081) Full Text: DOI arXiv Euclid
Nisse, Mounir Complex tropical localization, and coamoebas of complex algebraic hypersurfaces. (English) Zbl 1235.14058 Gurvits, Leonid (ed.) et al., Randomization, relaxation, and complexity in polynomial equation solving. Banff International Research Station workshop on randomization, relaxation, and complexity, Banff, Ontario, Canada, February 28–March 5, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5228-6/pbk). Contemporary Mathematics 556, 127-144 (2011). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14T05 32A60 PDFBibTeX XMLCite \textit{M. Nisse}, Contemp. Math. 556, 127--144 (2011; Zbl 1235.14058) Full Text: arXiv
Herold, Matthias Tropical orbit spaces and moduli spaces of tropical curves. (English) Zbl 1226.14081 Strasbourg: Univ. de Strasbourg, Institut de Recherche Mathématique Avancée (IRMA); Kaiserslautern: TU Kaiserslautern, Fachbereich Mathematik (Diss.). xx, 89 p. (2011). MSC: 14T05 14D20 32G15 PDFBibTeX XMLCite \textit{M. Herold}, Tropical orbit spaces and moduli spaces of tropical curves. Strasbourg: Univ. de Strasbourg, Institut de Recherche Mathématique Avancée (IRMA); Kaiserslautern: TU Kaiserslautern, Fachbereich Mathematik (Diss.) (2011; Zbl 1226.14081) Full Text: arXiv
Castaño-Bernard, Ricardo (ed.); Soibelman, Yan (ed.); Zharkov, Ilia (ed.) Mirror symmetry and tropical geometry. Proceedings of the NSF-CBMS conference on tropical geometry and mirror symmetry, Manhattan, KS, USA, December 13–17, 2008. (English) Zbl 1200.14001 Contemporary Mathematics 527. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4884-5/pbk). xi, 168 p. (2010). MSC: 14-06 14J33 14J32 14T05 14N35 53D37 53D40 32S35 00B25 PDFBibTeX XMLCite \textit{R. Castaño-Bernard} (ed.) et al., Mirror symmetry and tropical geometry. Proceedings of the NSF-CBMS conference on tropical geometry and mirror symmetry, Manhattan, KS, USA, December 13--17, 2008. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1200.14001) Full Text: DOI