Automorphisms of moduli spaces of vector bundles over a curve

2012/02/14 by Biswas, Indranil, Gomez, Tomas L., Munoz, V. · 1 citation
#14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1202.2961

Abstract

Let X be an irreducible smooth complex projective curve of genus g at least 4. Let M(r,Λ) be the moduli space of stable vector bundles over X or rank r and fixed determinant Λ, of degree d. We give a new proof of the fact that the automorphism group of M(r,Λ) is generated by automorphisms of the curve X, tensorization with suitable line bundles, and, if r divides 2d, also dualization of vector bundles.

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• Isomorphisms between moduli stacks of vector bundles with fixed determinant

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