A Torelli theorem for the moduli space of Higgs bundles on a curve

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Let X be a smooth projective complex curve, and let M be the moduli space of stable Higgs bundles on X (with genus g>1), with rank n and fixed determinant ξ, with n and deg(ξ) coprime. Let X' and ξ' be another such curve and line bundle, and M' the corresponding moduli space. We prove that if M and M' are isomorphic as algebraic varieties, then X and X' are isomorphic.
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Algebraic Geometry, 14D20; 14C34

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http://salesiana.dossiersoluciones.com/handle/123456789/61853

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107108
 http://arxiv.org/abs/math/0107108

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arXiv