Alberich-Carramiñana, Maria; Guàrdia, Jordi; Nart, Enric; Roé, Joaquim Valuations with an infinite limit-depth. (English) Zbl 07790894 Commun. Algebra 52, No. 1, 359-370 (2024). Reviewer: Carlos Galindo (Castellón) MSC: 13A18 12J10 12J20 14E15 PDFBibTeX XMLCite \textit{M. Alberich-Carramiñana} et al., Commun. Algebra 52, No. 1, 359--370 (2024; Zbl 07790894) Full Text: DOI
Becher, Karim Johannes; Grimm, David Nonsplit conics in the reduction of an arithmetic curve. (English) Zbl 07780720 Math. Z. 306, No. 1, Paper No. 12, 16 p. (2024). MSC: 12D15 12J10 12J25 14H05 14H25 PDFBibTeX XMLCite \textit{K. J. Becher} and \textit{D. Grimm}, Math. Z. 306, No. 1, Paper No. 12, 16 p. (2024; Zbl 07780720) Full Text: DOI arXiv
Becher, Karim Johannes; Gupta, Parul; Mishra, Sumit Chandra A ruled residue theorem for function fields of elliptic curves. (English) Zbl 07755436 J. Pure Appl. Algebra 228, No. 3, Article ID 107492, 19 p. (2024). MSC: 12J10 12F20 12J20 14H05 16H05 PDFBibTeX XMLCite \textit{K. J. Becher} et al., J. Pure Appl. Algebra 228, No. 3, Article ID 107492, 19 p. (2024; Zbl 07755436) Full Text: DOI arXiv
Dittmann, Philip; Fehm, Arno On the existential theory of the completions of a global field. arXiv:2401.11930 Preprint, arXiv:2401.11930 [math.LO] (2024). MSC: 03C60 12L05 12L12 12J20 14G05 11G25 BibTeX Cite \textit{P. Dittmann} and \textit{A. Fehm}, ``On the existential theory of the completions of a global field'', Preprint, arXiv:2401.11930 [math.LO] (2024) Full Text: arXiv OA License
Ardila-Mantilla, Federico The geometry of geometries: matroid theory, old and new. (English) Zbl 07821700 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4510-4541 (2023). MSC: 05B35 52B40 14C17 14T15 16T30 52B45 PDFBibTeX XMLCite \textit{F. Ardila-Mantilla}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 6. Sections 12--14. Berlin: European Mathematical Society (EMS). 4510--4541 (2023; Zbl 07821700) Full Text: DOI arXiv OA License
Cutkosky, Steven Dale Erratic birational behavior of mappings in positive characteristic. (English) Zbl 07785024 Math. Nachr. 296, No. 11, 5123-5156 (2023). MSC: 14E15 13A18 12J10 14B05 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Math. Nachr. 296, No. 11, 5123--5156 (2023; Zbl 07785024) Full Text: DOI arXiv
Cluckers, Raf; Halupczok, Immanuel; Rideau-Kikuchi, Silvain; Vermeulen, Floris Hensel minimality II: Mixed characteristic and a Diophantine application. (English) Zbl 07753224 Forum Math. Sigma 11, Paper No. e89, 33 p. (2023). MSC: 03C99 14G05 03C65 12J20 11G50 11D88 03C98 14E18 41A58 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Forum Math. Sigma 11, Paper No. e89, 33 p. (2023; Zbl 07753224) Full Text: DOI arXiv OA License
Fried, Michael D.; Jarden, Moshe Field arithmetic. 4th corrected edition. (English) Zbl 07720284 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 11. Cham: Springer (ISBN 978-3-031-28019-1/hbk; 978-3-031-28022-1/pbk; 978-3-031-28020-7/ebook). xxxi, 827 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 12E30 12-02 12E25 12F12 12Lxx 14G05 PDFBibTeX XMLCite \textit{M. D. Fried} and \textit{M. Jarden}, Field arithmetic. 4th corrected edition. Cham: Springer (2023; Zbl 07720284) Full Text: DOI
Murotani, Takahiro A study on anabelian geometry of higher local fields. (English) Zbl 1524.11213 Int. J. Number Theory 19, No. 6, 1229-1248 (2023). MSC: 11S20 14G20 14H30 PDFBibTeX XMLCite \textit{T. Murotani}, Int. J. Number Theory 19, No. 6, 1229--1248 (2023; Zbl 1524.11213) Full Text: DOI
Cassady, Connor Hasse principles for quadratic forms over function fields. (English) Zbl 1527.11029 J. Algebra 628, 613-633 (2023). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E04 11E72 11E81 12F20 12G05 12J10 13J10 14G12 PDFBibTeX XMLCite \textit{C. Cassady}, J. Algebra 628, 613--633 (2023; Zbl 1527.11029) Full Text: DOI arXiv
Phùng Hô Hài; dos Santos, João Pedro Finite torsors on projective schemes defined over a discrete valuation ring. (English) Zbl 1515.14027 Algebr. Geom. 10, No. 1, 1-40 (2023). MSC: 14F06 14F35 14L15 14G20 14L30 PDFBibTeX XMLCite \textit{Phùng Hô Hài} and \textit{J. P. dos Santos}, Algebr. Geom. 10, No. 1, 1--40 (2023; Zbl 1515.14027) Full Text: DOI arXiv
Alberich-Carramiñana, Maria; Guàrdia, Jordi; Nart, Enric; Roé, Joaquim Valuative trees over valued fields. (English) Zbl 1505.13005 J. Algebra 614, 71-114 (2023). Reviewer: José María Tornero (Sevilla) MSC: 13A18 12J20 13J10 14E15 PDFBibTeX XMLCite \textit{M. Alberich-Carramiñana} et al., J. Algebra 614, 71--114 (2023; Zbl 1505.13005) Full Text: DOI arXiv
Hà, Tài Huy; Kumar, Arvind; Nguyen, Hop D.; Nguyen, Thai Thanh Resurgence number of graded families of ideals. arXiv:2308.16410 Preprint, arXiv:2308.16410 [math.AC] (2023). MSC: 13A18 13A30 12J20 14A05 BibTeX Cite \textit{T. H. Hà} et al., ``Resurgence number of graded families of ideals'', Preprint, arXiv:2308.16410 [math.AC] (2023) Full Text: arXiv OA License
Ahmadian, Razieh; Cutkosky, Steven Dale Generating sequences of valuations on simple extensions of domains. arXiv:2308.05656 Preprint, arXiv:2308.05656 [math.AC] (2023). MSC: 12J20 16W60 14B25 BibTeX Cite \textit{R. Ahmadian} and \textit{S. D. Cutkosky}, ``Generating sequences of valuations on simple extensions of domains'', Preprint, arXiv:2308.05656 [math.AC] (2023) Full Text: arXiv OA License
Chirivì, Rocco; Fang, Xin; Littelmann, Peter LS algebras, valuations, and Schubert varieties. (English) Zbl 1524.14104 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 4, 925-957 (2022). Reviewer: Richárd Rimányi (Chapel Hill) MSC: 14M15 14M25 PDFBibTeX XMLCite \textit{R. Chirivì} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 4, 925--957 (2022; Zbl 1524.14104) Full Text: DOI arXiv
El Maazouz, Yassine The Gaussian entropy map in valued fields. (English) Zbl 07653036 Algebr. Stat. 13, No. 1, 1-18 (2022). MSC: 14T90 12J25 60E05 94A17 PDFBibTeX XMLCite \textit{Y. El Maazouz}, Algebr. Stat. 13, No. 1, 1--18 (2022; Zbl 07653036) Full Text: DOI arXiv
Kuhlmann, Katarzyna; Linzi, Alessandro; Stojałowska, Hanna Orderings and valuations in hyperfields. (English) Zbl 1508.12006 J. Algebra 611, 399-421 (2022). Reviewer: Mouad Moutaoukil (Fès) MSC: 12J15 12J20 14P10 PDFBibTeX XMLCite \textit{K. Kuhlmann} et al., J. Algebra 611, 399--421 (2022; Zbl 1508.12006) Full Text: DOI arXiv
Nart, Enric Rigidity of valuative trees under Henselization. (English) Zbl 1495.13011 Pac. J. Math. 319, No. 1, 189-211 (2022). Reviewer: Ali Benhissi (Monastir) MSC: 13A18 12J20 13J10 14E15 PDFBibTeX XMLCite \textit{E. Nart}, Pac. J. Math. 319, No. 1, 189--211 (2022; Zbl 1495.13011) Full Text: DOI arXiv
Knebusch, Manfred; Scheiderer, Claus [Unger, Thomas] Real algebra. A first course. Translated from the German and with contributions by Thomas Unger. (English) Zbl 1505.13001 Universitext. Cham: Springer (ISBN 978-3-031-09799-7/pbk; 978-3-031-09800-0/ebook). xi, 206 p. (2022). Reviewer: Tim Netzer (Innsbruck) MSC: 13-01 13J30 14Pxx 11E10 12J20 PDFBibTeX XMLCite \textit{M. Knebusch} and \textit{C. Scheiderer}, Real algebra. A first course. Translated from the German and with contributions by Thomas Unger. Cham: Springer (2022; Zbl 1505.13001) Full Text: DOI
Minamide, Arata; Tsujimura, Shota Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields. (English) Zbl 1493.12009 J. Number Theory 239, 298-334 (2022). MSC: 12F10 12J25 14H30 PDFBibTeX XMLCite \textit{A. Minamide} and \textit{S. Tsujimura}, J. Number Theory 239, 298--334 (2022; Zbl 1493.12009) Full Text: DOI
Cluckers, Raf; Halupczok, Immanuel; Rideau-Kikuchi, Silvain Hensel minimality. I. (English) Zbl 07536457 Forum Math. Pi 10, Paper No. e11, 68 p. (2022). MSC: 03C64 03C60 12J20 11D88 14E18 12L12 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Forum Math. Pi 10, Paper No. e11, 68 p. (2022; Zbl 07536457) Full Text: DOI arXiv
Lorscheid, Oliver Tropical geometry over the tropical hyperfield. (English) Zbl 1499.14105 Rocky Mt. J. Math. 52, No. 1, 189-222 (2022). Reviewer: Keyvan Yaghmayi (Salt Lake City) MSC: 14T10 06F05 16Y60 08A30 12J20 14G22 PDFBibTeX XMLCite \textit{O. Lorscheid}, Rocky Mt. J. Math. 52, No. 1, 189--222 (2022; Zbl 1499.14105) Full Text: DOI arXiv Link
Cutkosky, Steven Dale Essential finite generation of valuation rings in characteristic zero algebraic function fields. (English) Zbl 1495.13010 Algebra Number Theory 16, No. 2, 291-310 (2022). Reviewer: Jugal K. Verma (Mumbai) MSC: 13A18 14E15 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Algebra Number Theory 16, No. 2, 291--310 (2022; Zbl 1495.13010) Full Text: DOI arXiv
Cutkosky, Steven Dale; Sarkar, Parangama Multiplicities and mixed multiplicities of arbitrary filtrations. (English) Zbl 1487.13047 Res. Math. Sci. 9, No. 1, Paper No. 14, 33 p. (2022). Reviewer: Jebrel M. Habeb (Irbid) MSC: 13H15 13A18 14C17 PDFBibTeX XMLCite \textit{S. D. Cutkosky} and \textit{P. Sarkar}, Res. Math. Sci. 9, No. 1, Paper No. 14, 33 p. (2022; Zbl 1487.13047) Full Text: DOI arXiv
Patil, Dilip P.; Verma, J. K. Rational points and trace forms on a finite algebra over a real closed field. (English) Zbl 1498.13070 Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 669-687 (2021). MSC: 13P15 13B22 13F30 13H15 14Q30 13-02 PDFBibTeX XMLCite \textit{D. P. Patil} and \textit{J. K. Verma}, in: Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 669--687 (2021; Zbl 1498.13070) Full Text: DOI arXiv
Popescu, Dorin [Česnavičius, Kęstutis] Néron desingularization of extensions of valuation rings (with an appendix by Kęstutis Česnavičius). (English) Zbl 07615269 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 275-307 (2021). MSC: 13F30 13B02 03C20 14B05 PDFBibTeX XMLCite \textit{D. Popescu}, Springer Proc. Math. Stat. 373, 275--307 (2021; Zbl 07615269) Full Text: DOI arXiv
Cutkosky, Steven Dale Examples of multiplicities and mixed multiplicities of filtrations. (English) Zbl 1489.13037 Baeth, Nicholas R. (ed.) et al., Commutative algebra. 150 years with Roger and Sylvia Wiegand. Combined proceedings: second international meeting on commutative algebra and related areas, SIMCARA, Universidade de São Paulo, São Carlos, Brazil, July 22–26, 2019 and AMS special session on commutative algebra. In celebration of the 150th birthday of Roger and Sylvia Wiegand, University of Wisconsin-Madison, Wisconsin, September 14–15, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 773, 19-34 (2021). MSC: 13H15 14C20 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Contemp. Math. 773, 19--34 (2021; Zbl 1489.13037) Full Text: DOI arXiv
Lamy, Stéphane; Przytycki, Piotr Almost a building for the tame automorphism group. (Presqu’un immeuble pour le groupe des automorphismes modérés.) (French. English summary) Zbl 07480716 Ann. Henri Lebesgue 4, 605-651 (2021). MSC: 20F67 14R10 20E42 51E24 20Cxx 14Mxx PDFBibTeX XMLCite \textit{S. Lamy} and \textit{P. Przytycki}, Ann. Henri Lebesgue 4, 605--651 (2021; Zbl 07480716) Full Text: DOI arXiv
Paudel, Lokendra; Tchamna, Simplice Some properties of star operations on ring extensions. (English) Zbl 1481.13008 Int. Electron. J. Algebra 30, 99-115 (2021). Reviewer: Shishir Agrawal (Colorado Springs) MSC: 13A15 13A18 13B02 13B22 13F30 14P05 PDFBibTeX XMLCite \textit{L. Paudel} and \textit{S. Tchamna}, Int. Electron. J. Algebra 30, 99--115 (2021; Zbl 1481.13008) Full Text: DOI
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe Reduction type of smooth plane quartics. (English) Zbl 1494.13006 Algebra Number Theory 15, No. 6, 1429-1468 (2021). Reviewer: Sophie Kriz (Ann Arbor) MSC: 13A50 14H10 14H25 14L24 PDFBibTeX XMLCite \textit{R. Lercier} et al., Algebra Number Theory 15, No. 6, 1429--1468 (2021; Zbl 1494.13006) Full Text: DOI arXiv
Antieau, Benjamin; Datta, Rankeya Valuation rings are derived splinters. (English) Zbl 1485.13009 Math. Z. 299, No. 1-2, 827-851 (2021). Reviewer: Linquan Ma (West Lafayette) MSC: 13A18 14B05 13D09 13D22 PDFBibTeX XMLCite \textit{B. Antieau} and \textit{R. Datta}, Math. Z. 299, No. 1--2, 827--851 (2021; Zbl 1485.13009) Full Text: DOI arXiv
Cutkosky, Steven Dale The Minkowski equality of filtrations. (English) Zbl 1506.13042 Adv. Math. 388, Article ID 107869, 63 p. (2021). MSC: 13H15 13A18 14C17 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Adv. Math. 388, Article ID 107869, 63 p. (2021; Zbl 1506.13042) Full Text: DOI arXiv
Alberich-Carramiñana, Maria; Boix, Alberto F. F.; Fernández, Julio; Guàrdia, Jordi; Nart, Enric; Roé, Joaquim Of limit key polynomials. (English) Zbl 1472.13007 Ill. J. Math. 65, No. 1, 201-229 (2021). Reviewer: Ali Benhissi (Monastir) MSC: 13A18 12J20 13J10 14E15 PDFBibTeX XMLCite \textit{M. Alberich-Carramiñana} et al., Ill. J. Math. 65, No. 1, 201--229 (2021; Zbl 1472.13007) Full Text: DOI arXiv Link
Kelly, Shane; Morrow, Matthew \(K\)-theory of valuation rings. (English) Zbl 1467.19003 Compos. Math. 157, No. 6, 1121-1142 (2021). MSC: 19D50 14F30 PDFBibTeX XMLCite \textit{S. Kelly} and \textit{M. Morrow}, Compos. Math. 157, No. 6, 1121--1142 (2021; Zbl 1467.19003) Full Text: DOI arXiv
Moraes de Oliveira, Nathália; Nart, Enric Computation of residual polynomial operators of inductive valuations. (English) Zbl 1471.13010 J. Pure Appl. Algebra 225, No. 9, Article ID 106668, 31 p. (2021). Reviewer: Ali Benhissi (Monastir) MSC: 13A18 12J20 14E15 PDFBibTeX XMLCite \textit{N. Moraes de Oliveira} and \textit{E. Nart}, J. Pure Appl. Algebra 225, No. 9, Article ID 106668, 31 p. (2021; Zbl 1471.13010) Full Text: DOI arXiv
Gupta, Parul; Becher, Karim Johannes A ruled residue theorem for function fields of conics. (English) Zbl 1467.12010 J. Pure Appl. Algebra 225, No. 6, Article ID 106638, 13 p. (2021). MSC: 12J10 12F20 12J20 14H05 16H05 PDFBibTeX XMLCite \textit{P. Gupta} and \textit{K. J. Becher}, J. Pure Appl. Algebra 225, No. 6, Article ID 106638, 13 p. (2021; Zbl 1467.12010) Full Text: DOI arXiv
Brown, Ron; Merzel, Jonathan L. The space of \(\mathbb{R}\)-places on a rational function field. (English) Zbl 1465.12008 J. Algebra 565, 489-512 (2021). Reviewer: Detlev Hoffmann (Dortmund) MSC: 12J20 12D15 12E30 12J10 14P99 PDFBibTeX XMLCite \textit{R. Brown} and \textit{J. L. Merzel}, J. Algebra 565, 489--512 (2021; Zbl 1465.12008) Full Text: DOI
Dwivedi, Ashish; Saxena, Nitin Computing Igusa’s local zeta function of univariates in deterministic polynomial-time. (English) Zbl 1457.11166 Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 197-214 (2020). MSC: 11S40 68Q01 68W30 11Y16 14G50 PDFBibTeX XMLCite \textit{A. Dwivedi} and \textit{N. Saxena}, Open Book Ser. 4, 197--214 (2020; Zbl 1457.11166) Full Text: DOI arXiv
Vaquié, Michel Admissible family associated with a valuation of \(\mathbf{K} ( \mathbf{X} )\). (Famille admise associée à une valuation de \(\mathbf{K} ( \mathbf{X} )\).) (French. English summary) Zbl 1452.13006 Bull. Lond. Math. Soc. 52, No. 5, 977-992 (2020). Reviewer: Ali Benhissi (Monastir) MSC: 13A18 12J10 14E15 PDFBibTeX XMLCite \textit{M. Vaquié}, Bull. Lond. Math. Soc. 52, No. 5, 977--992 (2020; Zbl 1452.13006) Full Text: DOI arXiv
Langlois, Kevin On the classification of normal \(G\)-varieties with spherical orbits. (English. French summary) Zbl 1451.14139 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 2, 271-334 (2020). Reviewer: Ronan Terpereau (Dijon) MSC: 14L30 14M27 14M25 13A18 PDFBibTeX XMLCite \textit{K. Langlois}, Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 2, 271--334 (2020; Zbl 1451.14139) Full Text: DOI arXiv
de Felipe, Ana Belén; Teissier, Bernard Valuations and Henselization. (English) Zbl 1451.12005 Math. Ann. 377, No. 3-4, 935-967 (2020). MSC: 12J20 16W60 14B25 PDFBibTeX XMLCite \textit{A. B. de Felipe} and \textit{B. Teissier}, Math. Ann. 377, No. 3--4, 935--967 (2020; Zbl 1451.12005) Full Text: DOI arXiv
MacMillan, J. Rudnick and Soundarajan’s Theorem over Prime Polynomials for the Rational Function Field. arXiv:2010.07214 Preprint, arXiv:2010.07214 [math.NT] (2020). MSC: 11M38 11G20 11M06 13F30 11R58 14G10 BibTeX Cite \textit{J. MacMillan}, ``Rudnick and Soundarajan's Theorem over Prime Polynomials for the Rational Function Field'', Preprint, arXiv:2010.07214 [math.NT] (2020) Full Text: arXiv OA License
Goel, Kriti; Gurjar, R. V.; Verma, J. K. Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings. (English) Zbl 1451.13025 Dani, Shrikrishna G. (ed.) et al., Contributions in algebra and algebraic geometry. International conference on algebra, discrete mathematics and applications, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India, December 9–11, 2017. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 738, 33-56 (2019). Reviewer: Shreedevi K. Masuti (Dharwad) MSC: 13B22 13F30 13H15 14C17 PDFBibTeX XMLCite \textit{K. Goel} et al., Contemp. Math. 738, 33--56 (2019; Zbl 1451.13025) Full Text: DOI arXiv
Cutkosky, Steven Dale Mixed multiplicities of divisorial filtrations. (English) Zbl 1440.13106 Adv. Math. 358, Article ID 106842, 50 p. (2019). Reviewer: Jugal K. Verma (Mumbai) MSC: 13H15 13A18 14C17 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Adv. Math. 358, Article ID 106842, 50 p. (2019; Zbl 1440.13106) Full Text: DOI arXiv
Cutkosky, Steven Dale; Mourtada, Hussein Defect and local uniformization. (English) Zbl 1439.14054 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 4211-4226 (2019). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14E15 12J20 16W60 PDFBibTeX XMLCite \textit{S. D. Cutkosky} and \textit{H. Mourtada}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 4211--4226 (2019; Zbl 1439.14054) Full Text: DOI arXiv
Colliot-Thélène, J.-L.; Harbater, D.; Hartmann, J.; Krashen, D.; Parimala, R.; Suresh, V. Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields. (English) Zbl 1440.14035 Trans. Am. Math. Soc. 372, No. 8, 5263-5286 (2019). Reviewer: Yongqi Liang (Hefei) MSC: 14C25 14G05 14H25 11E72 12G05 12F10 PDFBibTeX XMLCite \textit{J. L. Colliot-Thélène} et al., Trans. Am. Math. Soc. 372, No. 8, 5263--5286 (2019; Zbl 1440.14035) Full Text: DOI arXiv
Rowen, Louis An informal overview of triples and systems. (English) Zbl 1481.08003 Leroy, André (ed.) et al., Rings, modules and codes. Fifth international conference on noncommutative rings and their applications, University of Artois, Lens, France, June 12–15, 2017. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 727, 317-335 (2019). Reviewer: Sergejs Solovjovs (Praha) MSC: 08A05 13C10 13C60 14T10 16Y60 12K10 20N20 PDFBibTeX XMLCite \textit{L. Rowen}, Contemp. Math. 727, 317--335 (2019; Zbl 1481.08003) Full Text: DOI arXiv
Fontana, Marco; Houston, Evan; Park, Mi Hee Sharpness and semistar operations in Prüfer-like domains. (English) Zbl 1439.13007 Commun. Algebra 47, No. 4, 1478-1489 (2019). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13A15 13F05 13G05 13F20 13F30 13B25 13B02 14A05 PDFBibTeX XMLCite \textit{M. Fontana} et al., Commun. Algebra 47, No. 4, 1478--1489 (2019; Zbl 1439.13007) Full Text: DOI arXiv
Cutkosky, Steven Dale Extensions of valuations to the Henselization and completion. (English) Zbl 1427.14008 Acta Math. Vietnam. 44, No. 1, 159-172 (2019). Reviewer: Radoslav M. Dimitrić (New York) MSC: 14B05 13B10 11S15 13A18 13F30 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Acta Math. Vietnam. 44, No. 1, 159--172 (2019; Zbl 1427.14008) Full Text: DOI arXiv
MacMillan, J. Remark on a Simple Proof of the Mean Value of \(K_2(\mathcal{O})\) in Function Fields. arXiv:1910.04479 Preprint, arXiv:1910.04479 [math.NT] (2019). MSC: 11M38 11G20 11M06 13F30 11R58 14G10 BibTeX Cite \textit{J. MacMillan}, ``Remark on a Simple Proof of the Mean Value of $K_2(\mathcal{O})$ in Function Fields'', Preprint, arXiv:1910.04479 [math.NT] (2019) Full Text: arXiv OA License
Li, Chi; Xu, Chenyang Stability of valuations: higher rational rank. (English) Zbl 1423.14262 Peking Math. J. 1, No. 1, 1-79 (2018). MSC: 14L24 14J10 14J45 14M25 14L30 PDFBibTeX XMLCite \textit{C. Li} and \textit{C. Xu}, Peking Math. J. 1, No. 1, 1--79 (2018; Zbl 1423.14262) Full Text: DOI arXiv
Chen, Zhe Green functions and higher Deligne-Lusztig characters. (English) Zbl 1483.20009 Doc. Math. 23, 2027-2041 (2018). MSC: 20C15 20G05 14F20 PDFBibTeX XMLCite \textit{Z. Chen}, Doc. Math. 23, 2027--2041 (2018; Zbl 1483.20009) Full Text: DOI arXiv
Brown, Ron; Merzel, Jonathan L. The space of real places on \(\mathbb{R}(x; y)\). (English) Zbl 1407.12001 Ann. Math. Sil. 32, 99-131 (2018). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12D15 12E30 12J20 14P99 PDFBibTeX XMLCite \textit{R. Brown} and \textit{J. L. Merzel}, Ann. Math. Sil. 32, 99--131 (2018; Zbl 1407.12001) Full Text: DOI
Cutkosky, Steven Dale Finite generation of extensions of associated graded rings along a valuation. (English) Zbl 1401.14019 J. Lond. Math. Soc., II. Ser. 98, No. 1, 177-203 (2018). Reviewer: Peter Schenzel (Halle) MSC: 14B05 14B25 13B10 11S15 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, J. Lond. Math. Soc., II. Ser. 98, No. 1, 177--203 (2018; Zbl 1401.14019) Full Text: DOI arXiv
Kowalczyk, Tomasz A note on Lavi’s paper “A Ganzstellensatz for semi-algebraic sets and a boundedness criterion for rational functions”. (English) Zbl 1440.14268 Commun. Algebra 46, No. 5, 1854-1858 (2018). MSC: 14P10 03C64 12J20 PDFBibTeX XMLCite \textit{T. Kowalczyk}, Commun. Algebra 46, No. 5, 1854--1858 (2018; Zbl 1440.14268) Full Text: DOI
Jahnke, Franziska (ed.); Palacín, Daniel (ed.); Tent, Katrin (ed.) Lectures in model theory. (English) Zbl 1390.03007 Münster Lectures in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-184-2/pbk; 978-3-03719-684-7/ebook). vii, 212 p. (2018). MSC: 03-06 03C45 03C60 03C98 12L12 14E18 12J20 20E18 00B25 PDFBibTeX XMLCite \textit{F. Jahnke} (ed.) et al., Lectures in model theory. Zürich: European Mathematical Society (EMS) (2018; Zbl 1390.03007) Full Text: DOI
Blum, Harold Existence of valuations with smallest normalized volume. (English) Zbl 1396.14007 Compos. Math. 154, No. 4, 820-849 (2018). Reviewer: Guillaume Rond (Marseille) MSC: 14B05 12J20 PDFBibTeX XMLCite \textit{H. Blum}, Compos. Math. 154, No. 4, 820--849 (2018; Zbl 1396.14007) Full Text: DOI arXiv
Reguera, Ana J. Coordinates at stable points of the space of arcs. (English) Zbl 1388.13001 J. Algebra 494, 40-76 (2018). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 13A02 13A18 14B05 14B25 14E15 14J17 32S05 PDFBibTeX XMLCite \textit{A. J. Reguera}, J. Algebra 494, 40--76 (2018; Zbl 1388.13001) Full Text: DOI HAL
Weimann, Martin Bivariate factorization using a critical fiber. (English) Zbl 1415.13014 Found. Comput. Math. 17, No. 5, 1219-1263 (2017). MSC: 13P05 12Y05 14H20 14Q05 PDFBibTeX XMLCite \textit{M. Weimann}, Found. Comput. Math. 17, No. 5, 1219--1263 (2017; Zbl 1415.13014) Full Text: DOI arXiv
Cutkosky, Steven The role of defect and splitting in finite generation of extensions of associated graded rings along a valuation. (English) Zbl 1411.14007 Algebra Number Theory 11, No. 6, 1461-1488 (2017). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 14B05 11S15 13B10 14E22 PDFBibTeX XMLCite \textit{S. Cutkosky}, Algebra Number Theory 11, No. 6, 1461--1488 (2017; Zbl 1411.14007) Full Text: DOI arXiv
San Saturnino, Jean-Christophe Defect of an extension, key polynomials and local uniformization. (English) Zbl 1370.13005 J. Algebra 481, 91-119 (2017). Reviewer: Gerard Leloup (Le Mans) MSC: 13A18 12J10 12J20 14B05 14E15 PDFBibTeX XMLCite \textit{J.-C. San Saturnino}, J. Algebra 481, 91--119 (2017; Zbl 1370.13005) Full Text: DOI arXiv HAL
Rond, Guillaume About the algebraic closure of the field of power series in several variables in characteristic zero. (English) Zbl 1360.13052 J. Singul. 16, 1-51 (2017). Reviewer: Ali Benhissi (Monastir) MSC: 13F25 11J25 12J20 12F99 13J05 14B05 32B10 PDFBibTeX XMLCite \textit{G. Rond}, J. Singul. 16, 1--51 (2017; Zbl 1360.13052) Full Text: DOI arXiv
Cutkosky, Steven Dale Étoiles and valuations. (English) Zbl 1358.14011 J. Pure Appl. Algebra 221, No. 3, 588-610 (2017). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B25 14E15 13B10 32B99 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, J. Pure Appl. Algebra 221, No. 3, 588--610 (2017; Zbl 1358.14011) Full Text: DOI arXiv
Mihara, Tomoki On Tate’s acyclicity and uniformity of Berkovich spectra and adic spectra. (English) Zbl 1375.14091 Isr. J. Math. 216, No. 1, 61-105 (2016). MSC: 14G22 46H05 11S80 12J20 47A10 46S10 PDFBibTeX XMLCite \textit{T. Mihara}, Isr. J. Math. 216, No. 1, 61--105 (2016; Zbl 1375.14091) Full Text: DOI arXiv
Finocchiaro, Carmelo A.; Fontana, Marco; Spirito, Dario New distinguished classes of spectral spaces: a survey. (English) Zbl 1353.13004 Chapman, Scott (ed.) et al., Multiplicative ideal theory and factorization theory. Commutative and non-commutative perspectives. Selected papers based on the presentations at the meeting ‘Arithmetic and ideal theory of rings and semigroups’, Graz, Austria, September 22–26, 2014. Cham: Springer (ISBN 978-3-319-38853-3/hbk; 978-3-319-38855-7/ebook). Springer Proceedings in Mathematics & Statistics 170, 117-143 (2016). MSC: 13A15 13G05 13B10 13E99 13C11 14A05 PDFBibTeX XMLCite \textit{C. A. Finocchiaro} et al., Springer Proc. Math. Stat. 170, 117--143 (2016; Zbl 1353.13004) Full Text: DOI arXiv
Cutkosky, Steven Dale Ramification of valuations and local rings in positive characteristic. (English) Zbl 1345.13005 Commun. Algebra 44, No. 7, 2828-2866 (2016). MSC: 13A18 14B05 14B25 14E15 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Commun. Algebra 44, No. 7, 2828--2866 (2016; Zbl 1345.13005) Full Text: DOI
Lavi, Noa A Ganzstellensatz for semialgebraic sets and a boundedness criterion for rational functions. (English) Zbl 1342.14119 Commun. Algebra 44, No. 1, 26-39 (2016). Reviewer: Tobias Kaiser (Passau) MSC: 14P10 03C64 12J20 PDFBibTeX XMLCite \textit{N. Lavi}, Commun. Algebra 44, No. 1, 26--39 (2016; Zbl 1342.14119) Full Text: DOI arXiv
Galindo, C.; Pérez-Casales, R. On the evaluation codes given by simple \(\delta \)-sequences. (English) Zbl 1342.94127 Appl. Algebra Eng. Commun. Comput. 27, No. 1, 59-90 (2016). MSC: 94B27 14G50 PDFBibTeX XMLCite \textit{C. Galindo} and \textit{R. Pérez-Casales}, Appl. Algebra Eng. Commun. Comput. 27, No. 1, 59--90 (2016; Zbl 1342.94127) Full Text: DOI
Izhakian, Zur; Knebusch, Manfred; Rowen, Louis Supertropical quadratic forms. I. (English) Zbl 1391.15080 J. Pure Appl. Algebra 220, No. 1, 61-93 (2016). Reviewer: Erich W. Ellers (Toronto) MSC: 15A63 11D09 11E81 16Y60 14T05 13F30 16W60 PDFBibTeX XMLCite \textit{Z. Izhakian} et al., J. Pure Appl. Algebra 220, No. 1, 61--93 (2016; Zbl 1391.15080) Full Text: DOI arXiv
de Fernex, Tommaso; Mustaţă, Mircea The volume of a set of arcs on a variety. (English) Zbl 1389.13061 Rev. Roum. Math. Pures Appl. 60, No. 3, 375-401 (2015). MSC: 13H15 14E18 13A18 14B05 PDFBibTeX XMLCite \textit{T. de Fernex} and \textit{M. Mustaţă}, Rev. Roum. Math. Pures Appl. 60, No. 3, 375--401 (2015; Zbl 1389.13061) Full Text: arXiv
Hu, Zhengyu Valuations and log canonical thresholds. (English) Zbl 1374.14019 Pure Appl. Math. Q. 11, No. 1, 49-86 (2015). Reviewer: Linquan Ma (Salt Lake City) MSC: 14F18 12J20 PDFBibTeX XMLCite \textit{Z. Hu}, Pure Appl. Math. Q. 11, No. 1, 49--86 (2015; Zbl 1374.14019) Full Text: DOI
Bruce, David J.; Logue, Molly; Walker, Robert Monomial valuations, cusp singularities, and continued fractions. (English) Zbl 1329.13037 J. Commut. Algebra 7, No. 4, 495-522 (2015). MSC: 13F30 14E15 16W60 PDFBibTeX XMLCite \textit{D. J. Bruce} et al., J. Commut. Algebra 7, No. 4, 495--522 (2015; Zbl 1329.13037) Full Text: DOI arXiv Euclid
Bekker, B. M.; Vostokov, S. V. The arithmetic of the Lubin-Tate formal module in a multidimensional complete field. (English) Zbl 1334.11088 St. Petersbg. Math. J. 26, No. 6, 859-865 (2015); translation from Algebra Anal. 26, No. 6, 1-9 (2014). MSC: 11S31 11A15 14L05 PDFBibTeX XMLCite \textit{B. M. Bekker} and \textit{S. V. Vostokov}, St. Petersbg. Math. J. 26, No. 6, 859--865 (2015; Zbl 1334.11088); translation from Algebra Anal. 26, No. 6, 1--9 (2014) Full Text: DOI
Izhakian, Zur; Knebusch, Manfred; Rowen, Louis Monoid valuations and value ordered supervaluations. (English) Zbl 1327.13017 Commun. Algebra 43, No. 8, 3207-3248 (2015). Reviewer: Marek Golasiński (Olsztyn) MSC: 13A18 06B23 13F30 03G10 12K10 14T05 16W60 16Y60 PDFBibTeX XMLCite \textit{Z. Izhakian} et al., Commun. Algebra 43, No. 8, 3207--3248 (2015; Zbl 1327.13017) Full Text: DOI arXiv
Cutkosky, Steven Dale Counterexamples to local monomialization in positive characteristic. (English) Zbl 1319.14017 Math. Ann. 362, No. 1-2, 321-334 (2015). Reviewer: Augusto Nobile (Baton Rouge) MSC: 14E15 14E99 14A15 13F30 13F40 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Math. Ann. 362, No. 1--2, 321--334 (2015; Zbl 1319.14017) Full Text: DOI arXiv
Pezda, Tadeusz Cycles of polynomial mappings in several variables over discrete valuation rings and over \(\mathbb Z\). (English) Zbl 1317.13047 Mich. Math. J. 64, No. 1, 109-142 (2015). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 13F20 37P05 11C08 11R11 11S05 13F05 14E05 37P20 11R04 PDFBibTeX XMLCite \textit{T. Pezda}, Mich. Math. J. 64, No. 1, 109--142 (2015; Zbl 1317.13047) Full Text: DOI Euclid
Xiao, Liang; Zhukov, Igor Ramification of higher local fields, approaches and questions. (English) Zbl 1312.14010 Campillo, Antonio (ed.) et al., Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18–29, 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-149-1/hbk). EMS Series of Congress Reports, 600-656 (2014). MSC: 14B25 11S15 PDFBibTeX XMLCite \textit{L. Xiao} and \textit{I. Zhukov}, in: Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18--29, 2011. Zürich: European Mathematical Society (EMS). 600--656 (2014; Zbl 1312.14010)
Faizov, I. N. Ramification jump in model extensions of degree \(p\). (English. Russian original) Zbl 1317.14055 J. Math. Sci., New York 202, No. 3, 455-478 (2014); translation from Zap. Nauchn. Semin. POMI 413, 183-218 (2013). Reviewer: Manabu Yoshida (Kumamoto) MSC: 14H05 11S05 11S15 11S31 14E22 PDFBibTeX XMLCite \textit{I. N. Faizov}, J. Math. Sci., New York 202, No. 3, 455--478 (2014; Zbl 1317.14055); translation from Zap. Nauchn. Semin. POMI 413, 183--218 (2013) Full Text: DOI
Hu, Zhengyu Valuative multiplier ideals. (English) Zbl 1315.14027 Pac. J. Math. 270, No. 1, 95-128 (2014). Reviewer: Zhi Jiang (Paris) MSC: 14F18 12J20 PDFBibTeX XMLCite \textit{Z. Hu}, Pac. J. Math. 270, No. 1, 95--128 (2014; Zbl 1315.14027) Full Text: DOI arXiv
Duarte, Daniel Nash modification on toric surfaces. (English) Zbl 1307.14070 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 153-171 (2014). Reviewer: Augusto Nobile (Baton Rouge) MSC: 14M25 14E15 14J17 32S45 13F30 PDFBibTeX XMLCite \textit{D. Duarte}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 153--171 (2014; Zbl 1307.14070) Full Text: DOI arXiv
González Pérez, Pedro D.; Teissier, Bernard Toric geometry and the Semple-Nash modification. (English) Zbl 1307.14071 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 1-48 (2014). Reviewer: Augusto Nobile (Baton Rouge) MSC: 14M25 14E15 14B05 13A18 32S45 PDFBibTeX XMLCite \textit{P. D. González Pérez} and \textit{B. Teissier}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 1--48 (2014; Zbl 1307.14071) Full Text: DOI arXiv
Hattori, Shin Ramification theory and perfectoid spaces. (English) Zbl 1331.11103 Compos. Math. 150, No. 5, 798-834 (2014). Reviewer: Liang Xiao (Storrs) MSC: 11S15 14G22 PDFBibTeX XMLCite \textit{S. Hattori}, Compos. Math. 150, No. 5, 798--834 (2014; Zbl 1331.11103) Full Text: DOI arXiv
Pop, Florian The Oort conjecture on lifting covers of curves. (English) Zbl 1311.12003 Ann. Math. (2) 180, No. 1, 285-322 (2014). Reviewer: Andrew Obus (Charlottesville) MSC: 12F10 11G20 13B05 13F35 14H25 14G32 PDFBibTeX XMLCite \textit{F. Pop}, Ann. Math. (2) 180, No. 1, 285--322 (2014; Zbl 1311.12003) Full Text: DOI arXiv Link
Cassou-Noguès, Pierrette; Veys, Willem Newton trees for ideals in two variables and applications. (English) Zbl 1296.13010 Proc. Lond. Math. Soc. (3) 108, No. 4, 869-910 (2014). Reviewer: Augusto Nobile (Baton Rouge) MSC: 13C05 14B05 32S45 13B22 14E15 13F25 PDFBibTeX XMLCite \textit{P. Cassou-Noguès} and \textit{W. Veys}, Proc. Lond. Math. Soc. (3) 108, No. 4, 869--910 (2014; Zbl 1296.13010) Full Text: DOI arXiv
Jonsson, Mattias; Mustaţă, Mircea An algebraic approach to the openness conjecture of demailly and Kollár. (English) Zbl 1314.32047 J. Inst. Math. Jussieu 13, No. 1, 119-144 (2014). Reviewer: Henri Guenancia (Stony Brook) MSC: 32U05 32U25 14F18 12J20 14B05 PDFBibTeX XMLCite \textit{M. Jonsson} and \textit{M. Mustaţă}, J. Inst. Math. Jussieu 13, No. 1, 119--144 (2014; Zbl 1314.32047) Full Text: DOI arXiv
Erdoğdu, V.; Harman, S. Commutative rings whose prime ideals are radically perfect. (English) Zbl 1282.13016 J. Commut. Algebra 5, No. 4, 527-544 (2013). Reviewer: Siamak Yassemi (Tehran) MSC: 13B25 11C08 11T06 13F20 13M10 16S85 13C15 13F05 13A18 12J20 14H50 PDFBibTeX XMLCite \textit{V. Erdoğdu} and \textit{S. Harman}, J. Commut. Algebra 5, No. 4, 527--544 (2013; Zbl 1282.13016) Full Text: DOI
Liu, Qing; Lu, Huajun Congruences of models of elliptic curves. (English) Zbl 1295.11067 J. Lond. Math. Soc., II. Ser. 88, No. 3, 899-924 (2013). MSC: 11G07 14G20 14G40 11G20 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{H. Lu}, J. Lond. Math. Soc., II. Ser. 88, No. 3, 899--924 (2013; Zbl 1295.11067) Full Text: DOI arXiv
Cutkosky, Steven Dale The mathematical life of Shreeram Abhyankar. (English) Zbl 1282.14002 Eur. Math. Soc. Newsl. 88, 39-41 (2013). Reviewer: Augusto Nobile (Baton Rouge) MSC: 14-03 01A70 14B05 14E15 14E20 14R15 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Eur. Math. Soc. Newsl. 88, 39--41 (2013; Zbl 1282.14002)
Izhakian, Zur; Knebusch, Manfred; Rowen, Louis Categorical notions of layered tropical algebra and geometry. (English) Zbl 1284.14088 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, 191-234 (2013). MSC: 14T05 06F20 11C08 12K10 16Y60 06F25 16D25 PDFBibTeX XMLCite \textit{Z. Izhakian} et al., Contemp. Math. 589, 191--234 (2013; Zbl 1284.14088) Full Text: arXiv
Draisma, Jan; Frenk, Bart Tropically unirational varieties. (English) Zbl 1312.14143 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, 109-123 (2013). MSC: 14T05 14Q15 12J20 14M22 PDFBibTeX XMLCite \textit{J. Draisma} and \textit{B. Frenk}, Contemp. Math. 589, 109--123 (2013; Zbl 1312.14143) Full Text: DOI arXiv
Stix, Jakob Birational \(p\)-adic Galois sections in higher dimensions. (English) Zbl 1306.14007 Isr. J. Math. 198, 49-61 (2013). Reviewer: Hiroaki Nakamura (Osaka) MSC: 14G32 12J20 14H30 PDFBibTeX XMLCite \textit{J. Stix}, Isr. J. Math. 198, 49--61 (2013; Zbl 1306.14007) Full Text: DOI arXiv
Abhyankar, Shreeram S. Generic incarnations of quadratic transforms. (English) Zbl 1311.13004 Proc. Am. Math. Soc. 141, No. 12, 4103-4117 (2013). Reviewer: Jean-Christophe San Saturnino (Toulouse) MSC: 13A15 13H05 13H15 14C17 13A30 13F30 14E05 PDFBibTeX XMLCite \textit{S. S. Abhyankar}, Proc. Am. Math. Soc. 141, No. 12, 4103--4117 (2013; Zbl 1311.13004) Full Text: DOI
Beilinson, Alexander; Tavares Ribeiro, Floric On a theorem of Kisin. (Sur un théorème de Kisin.) (English. French summary) Zbl 1296.11159 C. R., Math., Acad. Sci. Paris 351, No. 13-14, 505-506 (2013). Reviewer: Liang Xiao (Storrs) MSC: 11S20 14F30 PDFBibTeX XMLCite \textit{A. Beilinson} and \textit{F. Tavares Ribeiro}, C. R., Math., Acad. Sci. Paris 351, No. 13--14, 505--506 (2013; Zbl 1296.11159) Full Text: DOI arXiv Link
Izhakian, Zur; Knebusch, Manfred; Rowen, Louis Dominance and transmissions in supertropical valuation theory. (English) Zbl 1283.13003 Commun. Algebra 41, No. 7, 2736-2782 (2013). Reviewer: Péter E. Frenkel (Budapest) MSC: 13A18 13F30 16W60 16Y60 03G10 06B23 12K10 14T05 PDFBibTeX XMLCite \textit{Z. Izhakian} et al., Commun. Algebra 41, No. 7, 2736--2782 (2013; Zbl 1283.13003) Full Text: DOI arXiv
Mahboub, Wael Key polynomials. (English) Zbl 1303.12003 J. Pure Appl. Algebra 217, No. 6, 989-1006 (2013). Reviewer: Gerard Leloup (Le Mans) MSC: 12J20 12J10 13A18 14E15 PDFBibTeX XMLCite \textit{W. Mahboub}, J. Pure Appl. Algebra 217, No. 6, 989--1006 (2013; Zbl 1303.12003) 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
Osserman, Brian; Payne, Sam Lifting tropical intersections. (English) Zbl 1308.14069 Doc. Math. 18, 121-175 (2013). Reviewer: Hannah Markwig (Göttingen) MSC: 14T05 14C17 14M25 14A15 PDFBibTeX XMLCite \textit{B. Osserman} and \textit{S. Payne}, Doc. Math. 18, 121--175 (2013; Zbl 1308.14069) Full Text: arXiv EMIS
Jonsson, Mattias; Mustaţă, Mircea Valuations and asymptotic invariants for sequences of ideals. (Valuations et invariants asymptotiques pour les suites graduées d’idéaux.) (English. French summary) Zbl 1272.14016 Ann. Inst. Fourier 62, No. 6, 2145-2209 (2012). Reviewer: Kyungyong Lee (Storrs) MSC: 14F18 12J20 14B05 PDFBibTeX XMLCite \textit{M. Jonsson} and \textit{M. Mustaţă}, Ann. Inst. Fourier 62, No. 6, 2145--2209 (2012; Zbl 1272.14016) Full Text: DOI arXiv
Moret-Bailly, Laurent An extension of Greenberg’s theorem to general valuation rings. (English) Zbl 1253.13011 Manuscr. Math. 139, No. 1-2, 153-166 (2012). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13B40 13F30 12L10 14G27 PDFBibTeX XMLCite \textit{L. Moret-Bailly}, Manuscr. Math. 139, No. 1--2, 153--166 (2012; Zbl 1253.13011) Full Text: DOI arXiv
Temkin, Michael Functorial desingularization of quasi-excellent schemes in characteristic zero: the nonembedded case. (English) Zbl 1285.14015 Duke Math. J. 161, No. 11, 2207-2254 (2012). Reviewer: Marko Roczen (Berlin) MSC: 14E15 14B05 13F30 PDFBibTeX XMLCite \textit{M. Temkin}, Duke Math. J. 161, No. 11, 2207--2254 (2012; Zbl 1285.14015) Full Text: DOI arXiv Euclid