Automorphism group of a moduli space of framed bundles over a curve

被引：2

作者：

Alfaya, David ^{[1
]}

Biswas, Indranil ^{[2
]}

机构：

[1] Inst Ciencias Matemat CSIC UAM UC3M UCM, Nicolas Cabrera 15,Campus Cantoblanco UAM, Madrid 28049, Spain

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

来源：

GEOMETRIAE DEDICATA | 2021年 / 211卷 / 01期

关键词：

Framed bundle; Moduli space; Automorphism group; Higgs bundle; VECTOR-BUNDLES;

D O I：

10.1007/s10711-020-00541-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a smooth complex projective curve, and let x is an element of X\ be a point. We compute the automorphism group of the moduli space of framed vector bundles on X of rank r >= 2 with a framing over x. It is shown that this automorphism group is generated by the following three: (1) pullbacks using automorphisms of the curve X that fix the marked point x, (2) tensorization with certain line bundles over X and (3) the action of PGLr(C) through composition with the framing.

引用

页码：71 / 104

页数：34

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