Triviality properties of principal bundles on singular curves

被引：6

作者：

Belkale, Prakash ^{[1
]}

Fakhruddin, Najmuddin ^{[2
]}

机构：

[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

[2] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Mumbai 400005, India

来源：

ALGEBRAIC GEOMETRY | 2019年 / 6卷 / 02期

关键词：

principal bundles; singular curves; B-reduction; Drinfeld-Simpson theorem; conformal blocks; MODULI;

D O I：

10.14231/AG-2019-012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that principal bundles for a semisimple group on an arbitrary affine curve over an algebraically closed field are trivial provided that the order of the pi(1) of the group is invertible in the ground field or the curve has semi-normal singularities. Several consequences and extensions of this result (and method) are given. As an application, we realize conformal blocks bundles on moduli stacks of stable curves as push-forwards of line bundles on (relative) moduli stacks of principal bundles on the universal curve.

引用

页码：234 / 259

页数：26

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