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
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
  • [21] Geometry of toric varieties
    Brasselet, JP
    ALGEBRAIC GEOMETRY, 1997, 193 : 53 - 87
  • [22] Discriminants of toric varieties
    Munoz, Roberto
    Nolla, Alvaro
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (12) : 5109 - 5128
  • [23] Toric varieties in phylogenetics
    Michalek, M.
    DISSERTATIONES MATHEMATICAE, 2015, (511) : 3 - 86
  • [24] Toric Richardson varieties
    Can, Mahir Bilen
    Saha, Pinakinath
    COMMUNICATIONS IN ALGEBRA, 2025, 53 (05) : 1770 - 1790
  • [25] Schubert varieties, toric varieties, and ladder determinantal varieties
    Gonciulea, N
    Lakshmibai, V
    ANNALES DE L INSTITUT FOURIER, 1997, 47 (04) : 1013 - &
  • [26] Toric co-Higgs bundles on toric varieties
    Biswas, Indranil
    Dey, Arijit
    Poddar, Mainak
    Rayan, Steven
    ILLINOIS JOURNAL OF MATHEMATICS, 2021, 65 (01) : 181 - 190
  • [27] Toric arc schemes and quantum cohomology of toric varieties
    Arkhipov, Sergey
    Kapranov, Mikhail
    MATHEMATISCHE ANNALEN, 2006, 335 (04) : 953 - 964
  • [28] Toric arc schemes and quantum cohomology of toric varieties
    Sergey Arkhipov
    Mikhail Kapranov
    Mathematische Annalen, 2006, 335 : 953 - 964
  • [29] Toric partial density functions and stability of toric varieties
    Pokorny, Florian T.
    Singer, Michael
    MATHEMATISCHE ANNALEN, 2014, 358 (3-4) : 879 - 923
  • [30] Toric partial density functions and stability of toric varieties
    Florian T. Pokorny
    Michael Singer
    Mathematische Annalen, 2014, 358 : 879 - 923