Automorphisms of moduli spaces of vector bundles over a curve

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Abstract

Let X be an irreducible smooth complex projective curve of genus g≥4. Let M(r, Λ) be the moduli space of stable vector bundles E{long rightwards arrow} X or rank r and fixed determinant Λ. We show that the automorphism group of M(r, Λ) is generated by automorphisms of the curve X, tensorization with suitable line bundles, and, in case r divides 2. deg. (Λ), also dualization of vector bundles. © 2012 Elsevier Ltd.

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Biswas, I., Gómez, T. L., & Muñoz, V. (2013). Automorphisms of moduli spaces of vector bundles over a curve. Expositiones Mathematicae, 31(1), 73–86. https://doi.org/10.1016/j.exmath.2012.08.002

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