Kara, Selvi; Portakal, Irem; Tsuchiya, Akiyoshi Rigid Gorenstein toric Fano varieties arising from directed graphs. (English) Zbl 1512.05158 Collect. Math. 74, No. 2, 333-351 (2023). MSC: 05C20 14B07 14M25 14J45 52B20 PDFBibTeX XMLCite \textit{S. Kara} et al., Collect. Math. 74, No. 2, 333--351 (2023; Zbl 1512.05158) Full Text: DOI arXiv
Petracci, Andrea On deformations of toric Fano varieties. (English) Zbl 1502.14095 Kasprzyk, Alexander M. (ed.) et al., Interactions with lattice polytopes. Selected papers based on the presentations at the workshop, Magdeburg, Germany, September 14–16, 2017. Cham: Springer. Springer Proc. Math. Stat. 386, 287-314 (2022). MSC: 14J45 14M25 14J30 14J10 PDFBibTeX XMLCite \textit{A. Petracci}, Springer Proc. Math. Stat. 386, 287--314 (2022; Zbl 1502.14095) Full Text: DOI arXiv
Galkin, Sergey; Mikhalkin, Grigory Singular symplectic spaces and holomorphic membranes. (English) Zbl 1509.53081 Eur. J. Math. 8, No. 3, 932-951 (2022). Reviewer: Nima Moshayedi (Zürich) MSC: 53D05 53D12 PDFBibTeX XMLCite \textit{S. Galkin} and \textit{G. Mikhalkin}, Eur. J. Math. 8, No. 3, 932--951 (2022; Zbl 1509.53081) Full Text: DOI arXiv
Petracci, Andrea On deformation spaces of toric singularities and on singularities of K-moduli of Fano varieties. (English) Zbl 1502.14014 Trans. Am. Math. Soc. 375, No. 8, 5617-5643 (2022). Reviewer: Jan Stevens (Göteborg) MSC: 14B07 32S05 14J17 14J45 14M25 PDFBibTeX XMLCite \textit{A. Petracci}, Trans. Am. Math. Soc. 375, No. 8, 5617--5643 (2022; Zbl 1502.14014) Full Text: DOI arXiv
Petracci, Andrea Homogeneous deformations of toric pairs. (English) Zbl 1470.14011 Manuscr. Math. 166, No. 1-2, 37-72 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14B07 14M25 14J45 PDFBibTeX XMLCite \textit{A. Petracci}, Manuscr. Math. 166, No. 1--2, 37--72 (2021; Zbl 1470.14011) Full Text: DOI arXiv
Kaloghiros, Anne-Sophie; Petracci, Andrea On toric geometry and K-stability of Fano varieties. (English) Zbl 1476.14075 Trans. Am. Math. Soc., Ser. B 8, 548-577 (2021). Reviewer: Ruadhaí Dervan (Cambridge) MSC: 14J45 14M25 14B07 14D23 PDFBibTeX XMLCite \textit{A.-S. Kaloghiros} and \textit{A. Petracci}, Trans. Am. Math. Soc., Ser. B 8, 548--577 (2021; Zbl 1476.14075) Full Text: DOI arXiv
Portakal, Irem On rigidity of toric varieties arising from bipartite graphs. (English) Zbl 1452.14003 J. Algebra 569, 784-822 (2021). Reviewer: Piotr Pokora (Kraków) MSC: 14B07 14M25 52B20 05C69 PDFBibTeX XMLCite \textit{I. Portakal}, J. Algebra 569, 784--822 (2021; Zbl 1452.14003) Full Text: DOI arXiv
Bossinger, Lara (ed.); González, Eduardo (ed.); Rietsch, Konstanze (ed.); Williams, Lauren K. (ed.) Mini-workshop: superpotentials in algebra and geometry. Abstracts from the mini-workshop held February 23–29, 2020. (English) Zbl 1460.00035 Oberwolfach Rep. 17, No. 1, 569-600 (2020). MSC: 00B05 00B25 14-06 53-06 13-06 14J33 13F60 53D37 14M25 PDFBibTeX XMLCite \textit{L. Bossinger} (ed.) et al., Oberwolfach Rep. 17, No. 1, 569--600 (2020; Zbl 1460.00035) Full Text: DOI
Ruddat, Helge; Siebert, Bernd Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations. (English) Zbl 1454.14110 Publ. Math., Inst. Hautes Étud. Sci. 132, 1-82 (2020). Reviewer: Thomas Blomme (Paris) MSC: 14J33 53D37 14F99 14M25 PDFBibTeX XMLCite \textit{H. Ruddat} and \textit{B. Siebert}, Publ. Math., Inst. Hautes Étud. Sci. 132, 1--82 (2020; Zbl 1454.14110) Full Text: DOI arXiv
Ilten, Nathan; Turo, Charles Deformations of smooth complete toric varieties: obstructions and the cup product. (English) Zbl 1456.14063 Algebra Number Theory 14, No. 4, 907-926 (2020). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14M25 14B12 14D15 PDFBibTeX XMLCite \textit{N. Ilten} and \textit{C. Turo}, Algebra Number Theory 14, No. 4, 907--926 (2020; Zbl 1456.14063) Full Text: DOI arXiv
Petracci, Andrea An example of mirror symmetry for Fano threefolds. (English) Zbl 1436.14076 Colombo, Elisabetta (ed.) et al., Birational geometry and moduli spaces. Collected papers presented at the INdAM workshop, Rome, Italy, June 11–15, 2018. Cham: Springer. Springer INdAM Ser. 39, 173-188 (2020). MSC: 14J33 14J45 14J30 14M25 14J10 PDFBibTeX XMLCite \textit{A. Petracci}, Springer INdAM Ser. 39, 173--188 (2020; Zbl 1436.14076) Full Text: DOI arXiv
Ilten, Nathan; Manon, Christopher Rational complexity-one \(T\)-varieties are well-poised. (English) Zbl 1457.14113 Int. Math. Res. Not. 2019, No. 13, 4198-4232 (2019). MSC: 14M25 14L30 14L24 PDFBibTeX XMLCite \textit{N. Ilten} and \textit{C. Manon}, Int. Math. Res. Not. 2019, No. 13, 4198--4232 (2019; Zbl 1457.14113) Full Text: DOI arXiv
Altmann, Klaus; Kollár, János The dualizing sheaf on first-order deformations of toric surface singularities. (English) Zbl 1422.14006 J. Reine Angew. Math. 753, 137-158 (2019). Reviewer: Tomohiro Okuma (Yamagata) MSC: 14B07 14J17 14M25 PDFBibTeX XMLCite \textit{K. Altmann} and \textit{J. Kollár}, J. Reine Angew. Math. 753, 137--158 (2019; Zbl 1422.14006) Full Text: DOI arXiv
Christophersen, Jan Arthur; Kleppe, Jan O. Comparison theorems for deformation functors via invariant theory. (English) Zbl 1451.14030 Collect. Math. 70, No. 1, 1-32 (2019). Reviewer: Marko Roczen (Berlin) MSC: 14D15 14B12 13D10 14B07 PDFBibTeX XMLCite \textit{J. A. Christophersen} and \textit{J. O. Kleppe}, Collect. Math. 70, No. 1, 1--32 (2019; Zbl 1451.14030) Full Text: DOI arXiv Link
Filip, Matej Hochschild cohomology and deformation quantization of affine toric varieties. (English) Zbl 1409.13033 J. Algebra 506, 188-214 (2018). Reviewer: Irem Portakal (Magdeburg) MSC: 13D03 13D10 14B05 14B07 14M25 53D55 PDFBibTeX XMLCite \textit{M. Filip}, J. Algebra 506, 188--214 (2018; Zbl 1409.13033) Full Text: DOI arXiv
Ilten, Nathan Owen; Vollmert, Robert Deformations of rational \(T\)-varieties. (English) Zbl 1244.14044 J. Algebr. Geom. 21, No. 3, 531-562 (2012). Reviewer: Klaus Altmann (Berlin) MSC: 14M25 14B07 32G05 14L30 PDFBibTeX XMLCite \textit{N. O. Ilten} and \textit{R. Vollmert}, J. Algebr. Geom. 21, No. 3, 531--562 (2012; Zbl 1244.14044) Full Text: DOI arXiv
Totaro, Burt Jumping of the nef cone for Fano varieties. (English) Zbl 1248.14020 J. Algebr. Geom. 21, No. 2, 375-396 (2012). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E30 14J45 14C20 PDFBibTeX XMLCite \textit{B. Totaro}, J. Algebr. Geom. 21, No. 2, 375--396 (2012; Zbl 1248.14020) Full Text: DOI arXiv
Ilten, Nathan Owen Deformations of smooth toric surfaces. (English) Zbl 1208.14009 Manuscr. Math. 134, No. 1-2, 123-137 (2011). Reviewer: Anargyros Katsabekis (Lamia) MSC: 14D15 14M25 PDFBibTeX XMLCite \textit{N. O. Ilten}, Manuscr. Math. 134, No. 1--2, 123--137 (2011; Zbl 1208.14009) Full Text: DOI arXiv
Ilten, Nathan Owen One-parameter toric deformations of cyclic quotient singularities. (English) Zbl 1158.14007 J. Pure Appl. Algebra 213, No. 6, 1086-1096 (2009). MSC: 14B07 14M25 PDFBibTeX XMLCite \textit{N. O. Ilten}, J. Pure Appl. Algebra 213, No. 6, 1086--1096 (2009; Zbl 1158.14007) Full Text: DOI arXiv
Altmann, Klaus Infinitesimal deformations and obstructions for toric singularities. (English) Zbl 0922.14035 J. Pure Appl. Algebra 119, No. 3, 211-235 (1997). Reviewer: Lucien Bădescu (Bucureşti) MSC: 14M25 14B05 PDFBibTeX XMLCite \textit{K. Altmann}, J. Pure Appl. Algebra 119, No. 3, 211--235 (1997; Zbl 0922.14035) Full Text: DOI arXiv
Altmann, Klaus The versal deformation of an isolated toric Gorenstein singularity. (English) Zbl 0894.14025 Invent. Math. 128, No. 3, 443-479 (1997). Reviewer: M.Morales (Saint-Martin-d’Heres) MSC: 14M25 14D15 13H10 14B05 14M05 PDFBibTeX XMLCite \textit{K. Altmann}, Invent. Math. 128, No. 3, 443--479 (1997; Zbl 0894.14025) Full Text: DOI arXiv