Smooth models of quiver moduli

被引：34

作者：

Engel, Johannes ^{[1
]}

Reineke, Markus ^{[1
]}

机构：

[1] Berg Univ Wuppertal, Fachbereich Math C, D-42097 Wuppertal, Germany

来源：

MATHEMATISCHE ZEITSCHRIFT | 2009年 / 262卷 / 04期

关键词：

REPRESENTATIONS; COHOMOLOGY; ALGEBRAS; SCHEMES;

D O I：

10.1007/s00209-008-0401-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any moduli space of stable representations of quivers, certain smooth varieties, compactifying projective space fibrations over the moduli space, are constructed. The boundary of this compactification is analyzed. Explicit formulas for the Betti numbers of the smooth models are derived. In the case of moduli of simple representations, explicit cell decompositions of the smooth models are constructed.

引用

页码：817 / 848

页数：32

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