A primer on toric varieties

被引：0
|
作者：
Heuberger, Liana [1 ]
机构：
[1] Univ Angers, Lab Angevin Rech Math, 2 Blvd Lavoisier, F-49045 Angers 01, France
来源：
EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 8卷 / 03期
关键词：
Fans; Quotient singularities; Polytopes; Toric GIT;
D O I：
10.1007/s40879-022-00561-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
These notes are based on mini-courses delivered at three summer schools: the Algebraic Geometry in Auckland in December 2019, the COW/EmSG/GLEN in September 2020 and the Lectures Sophie Kowalevski in June 2021. They are aimed at either graduate students or busy mathematicians in need either of a quick reminder, or of examples illustrating specific properties. There are no new results in these notes.
引用
收藏
页码：952 / 971
页数：20
相关论文
共 50 条
  • [31] Toric degenerations of Schubert varieties
    Caldero, P
    TRANSFORMATION GROUPS, 2002, 7 (01) : 51 - 60
  • [32] ARITHMETIC POSITIVITY ON TORIC VARIETIES
    Burgos Gil, Jose Ignacio
    Moriwaki, Atsushi
    Philippon, Patrice
    Sombra, Martin
    JOURNAL OF ALGEBRAIC GEOMETRY, 2016, 25 (02) : 201 - 272
  • [33] Koszul duality for toric varieties
    Braden, Tom
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (01) : 385 - 415
  • [34] Automorphisms of products of toric varieties
    Liendo, Alvaro
    Arteche, Giancarlo Lucchini
    MATHEMATICAL RESEARCH LETTERS, 2022, 29 (02) : 529 - 540
  • [35] Phylogenetic toric varieties on graphs
    Weronika Buczyńska
    Journal of Algebraic Combinatorics, 2012, 35 : 421 - 460
  • [36] NEAREST POINTS ON TORIC VARIETIES
    Helmer, Martin
    Sturmfels, Bernd
    MATHEMATICA SCANDINAVICA, 2018, 122 (02) : 213 - 238
  • [37] Combinatorics and quotients of toric varieties
    Hu, Y
    DISCRETE & COMPUTATIONAL GEOMETRY, 2002, 28 (02) : 151 - 174
  • [38] A note on affine toric varieties
    Reyes, E
    Villarreal, RH
    Zárate, L
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 318 (1-3) : 173 - 179
  • [39] Quotients of divisorial toric varieties
    A'Campo-Neuen, A
    Hausen, J
    MICHIGAN MATHEMATICAL JOURNAL, 2002, 50 (01) : 101 - 123
  • [40] The geometry of toric hyperkahler varieties
    Konno, Hiroshi
    TORIC TOPOLOGY, 2008, 460 : 241 - 260
12345