THE COHOMOLOGY GROUPS OF REAL TORIC VARIETIES ASSOCIATED WITH WEYL CHAMBERS OF TYPES C AND D

被引：2

作者：

Choi, Suyoung ^{[1
]}

Kaji, Shizuo ^{[2
]}

Park, Hanchul ^{[3
]}

机构：

[1] Ajou Univ, Dept Math, 206 World Cup Ro, Suwon 16499, South Korea

[2] Kyushu Univ, Inst Math Ind, Nishi Ku, 744 Motooka, Fukuoka, Fukuoka 8190395, Japan

[3] Jeju Natl Univ, Dept Math Educ, 102 Jejudaehak Ro, Jeju Si 63243, Jeju Province, South Korea

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2019年 / 62卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

real toric variety; cohomology; root system; Weyl chamber; poset topology; generalized Euler number;

D O I：

10.1017/S001309151800086X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a root system, the Weyl chambers in the co-weight lattice give rise to a real toric variety, called the real toric variety associated with the Weyl chambers. We compute the integral cohomology groups of real toric varieties associated with the Weyl chambers of type C-n and D-n, completing the computation for all classical types.

引用

页码：861 / 874

页数：14

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