Hodge polynomials of the moduli spaces of pairs

被引：15

作者：

Munoz, Vicente

Ortega, Daniel

Vazquez-Gallo, Maria-Jesus

机构：

[1] CSIC, Dept Matemat, E-28006 Madrid, Spain

[2] Univ Autonoma Madrid, Dept Matemat, Fac Ciencias, E-28049 Madrid, Spain

[3] Univ Politecn Madrid, Dept Ingn Civil, Escuela Ingn Obras Publ, Serv Urbanos Unidad Docente Matemat, Madrid 28014, Spain

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2007年 / 18卷 / 06期

关键词：

moduli space; complex curve; vector bundle; stable triple; Hodge numbers; VECTOR-BUNDLES; STABLE BUNDLES; TRIPLES; CURVES;

D O I：

10.1142/S0129167X07004266

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a smooth projective curve of genus g >= 2 over the complex numbers. A holomorphic pair on X is a couple (E, phi), where E is a holomorphic bundle over X of rank n and degree d, and phi is an element of H-0(E) is a holomorphic section. In this paper, we determine the Hodge polynomials of the moduli spaces of rank 2 pairs, using the theory of mixed Hodge structures. We also deal with the case in which E has fixed determinant.

引用

页码：695 / 721

页数：27

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