Trivialness of equivariant vector bundles for finite abelian groups

被引：1

作者：

Castella, D ^{[1
]}

机构：

[1] Univ Poitiers, Poitiers, France

[2] Univ Polynesie Francaise, Tahiti, France

来源：

ADVANCES IN MATHEMATICS | 2000年 / 151卷 / 01期

关键词：

D O I：

10.1006/aima.1999.1853

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite abelian group, V a complex G-module and A the algebra of all polynomial functions on V. We show that if ill is a free A-module of finite rank, then there exists a G-module W such that M is isomorphic to A circle times W. As a consequence all algebraic G-vector bundles with base V are trivial, and the action of G on the total space of such a bundle is linearizable. 2000 Academic Press.

引用

页码：36 / 44

页数：9

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