THE HOMOLOGY GROUPS OF CERTAIN MODULI SPACES OF PLANE SHEAVES

被引：10

作者：

Maican, Mario ^{[1
]}

机构：

[1] Romanian Acad, Inst Math, Bucharest 010702, Romania

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2013年 / 24卷 / 12期

关键词：

Moduli of plane sheaves; Bialynicki-Birula decomposition; Torus actions; Hodge numbers;

D O I：

10.1142/S0129167X13500985

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Bialynicki-Birula method, we determine the additive structure of the integral homology groups of the moduli spaces of semi-stable sheaves on the projective plane having rank and Chern classes (5, 1, 4), (7, 2, 6), respectively, (0, 5, 19). We compute the Hodge numbers of these moduli spaces.

引用

页数：42

共 22 条

[1]

[Anonymous], 2012, Singular 3-1-6 | A computer algebra system for polynomial computations

[2] THEOREMS ON ACTIONS OF ALGEBRAIC GROUPS [J].