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
收藏
页码：71 / 104
页数：34
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