Automorphisms of moduli spaces of vector bundles over a curve
Algebraic Geometry
2012-02-15 v1
Abstract
Let X be an irreducible smooth complex projective curve of genus g at least 4. Let M(r,\Lambda) be the moduli space of stable vector bundles over X or rank r and fixed determinant \Lambda, of degree d. We give a new proof of the fact that the automorphism group of M(r,\Lambda) is generated by automorphisms of the curve X, tensorization with suitable line bundles, and, if r divides 2d, also dualization of vector bundles.
Cite
@article{arxiv.1202.2961,
title = {Automorphisms of moduli spaces of vector bundles over a curve},
author = {Indranil Biswas and Tomas L. Gomez and V. Munoz},
journal= {arXiv preprint arXiv:1202.2961},
year = {2012}
}
Comments
12 pages