Cohomology of wheels on toric varieties

被引：0

作者：

Craw, Alastair ^{[1
]}

Quintero Velez, Alexander ^{[2
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

[2] Univ Valle, Dept Matemat, Cali, Colombia

来源：

Hokkaido Mathematical Journal | 2015年 / 44卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Cohomology of complexes; toric varieties; syzygies;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe explicitly the cohomology of the total complex of certain diagrams of invertible sheaves on normal toric varieties. These diagrams, called wheels, arise in the study of toric singularities associated to dimer models. Our main tool describes the generators in a family of syzygy modules associated to the wheel in terms of walks in a family of graphs.

引用

页码：47 / 79

页数：33

共 50 条

[31] Degeneration of Schubert varieties of SLn/B to toric varieties
Dehy, R
Yu, RWT
ANNALES DE L INSTITUT FOURIER, 2001, 51 (06) : 1525 - +
[32] Toric varieties with ample tangent bundle
Wu, Kuang-Yu
ALGEBRAIC COMBINATORICS, 2024, 7 (01): : 1 - 7
[33] THE K-THEORY OF TORIC VARIETIES
Cortinas, G.
Haesemeyer, C.
Walker, Mark E.
Weibel, C.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (06) : 3325 - 3341
[34] The Gerstenhaber productof affine toric varieties
Filip, Matej
COMMUNICATIONS IN ALGEBRA, 2021, 49 (03) : 1146 - 1162
[35] On reduced arc spaces of toric varieties
Dumanski, Ilya
Feigin, Evgeny
Makedonskyi, Ievgen
Makhlin, Igor
ALGEBRA & NUMBER THEORY, 2025, 19 (02) : 313 - 363
[36] On derived categories of arithmetic toric varieties
Ballard, Matthew
Duncan, Alexander
McFaddin, Patrick
ANNALS OF K-THEORY, 2019, 4 (02) : 211 - 242
[37] Higher order selfdual toric varieties
Alicia Dickenstein
Ragni Piene
Annali di Matematica Pura ed Applicata (1923 -), 2017, 196 : 1759 - 1777
[38] Resolving Toric Varieties with Nash Blowups
Atanasov, Atanas
Lopez, Christopher
Perry, Alexander
Proudfoot, Nicholas
Thaddeus, Michael
EXPERIMENTAL MATHEMATICS, 2011, 20 (03) : 288 - 303
[39] Equivariant Burnside groups and toric varieties
Andrew Kresch
Yuri Tschinkel
Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 3013 - 3039
[40] Vanishing for Hodge ideals on toric varieties
Dutta, Yajnaseni
MATHEMATISCHE NACHRICHTEN, 2020, 293 (01) : 79 - 87

← 1 2 3 4 5 →