Automorphisms of moduli spaces of symplectic bundle
Algebraic Geometry
2011-01-18 v2
Abstract
Let X be an irreducible smooth complex projective curve of genus at least 3. Fix a line bundle L on X. Let M_{Sp}(L) be the moduli space of symplectic bundles (E, ExE ---> L) on X, with the symplectic form taking values in L. We show that the automorphism group of M_{Sp}(L) is generated by automorphisms sending E to ExM, where M is a 2-torsion line bundle, and automorphisms induced by automorphisms of X.
Keywords
Cite
@article{arxiv.1009.1975,
title = {Automorphisms of moduli spaces of symplectic bundle},
author = {Indranil Biswas and Tomas L. Gomez and Vicente Muñoz},
journal= {arXiv preprint arXiv:1009.1975},
year = {2011}
}
Comments
21 pages