Automorphisms of moduli spaces of vector bundles over a curve
Copyright policy )Automorphisms of moduli spaces of vector bundles over a curve
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.
12 pages
Mathematics(all), stable bundles, Vector bundles on curves and their moduli, Stable bundles, automorphism group, Sheaves, derived categories of sheaves, etc., Moduli space, Automorphism group, 14H60, Mathematics - Algebraic Geometry, FOS: Mathematics, moduli space, Algebraic Geometry (math.AG)
Mathematics(all), stable bundles, Vector bundles on curves and their moduli, Stable bundles, automorphism group, Sheaves, derived categories of sheaves, etc., Moduli space, Automorphism group, 14H60, Mathematics - Algebraic Geometry, FOS: Mathematics, moduli space, Algebraic Geometry (math.AG)
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