Moduli spaces of orthogonal and symplectic bundles over an algebraic curve

被引：17

作者：

Serman, Olivier ^{[1
]}

机构：

[1] Univ Nice, Lab JA Dieudonne, CNRS, UMR 6621, F-06108 Nice, France

来源：

COMPOSITIO MATHEMATICA | 2008年 / 144卷 / 03期

关键词：

moduli spaces; orthogonal bundles; symplectic bundles; representations of quivers;

D O I：

10.1112/S0010437X07003247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that, given a smooth projective curve C of genus g >= 2, the forgetful morphism.Mo(r) -> M(GLr) (respectively M(Sp2r) -> M(GL2r)) from the moduli space of orthogonal (respectively symplectic) bundles to the moduli space of all vector bundles over C is an embedding. Our proof relies on an explicit description of a set of generators for the polynomial invariants on the representation space of a quiver under the action of a product of classical groups.

引用

页码：721 / 733

页数：13

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