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

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dc.creatorBiswas, Indranil
dc.creatorGomez, Tomas L.
dc.date2001-07-14
dc.date.accessioned2026-07-07T04:42:36Z
dc.date.available2026-07-07T04:42:36Z
dc.descriptionLet 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.
dc.descriptionLaTeX2e (11 pages)
dc.identifierhttps://arxiv.org/abs/math/0107108
dc.identifierhttp://arxiv.org/abs/math/0107108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61853
dc.subjectAlgebraic Geometry
dc.subject14D20; 14C34
dc.titleA Torelli theorem for the moduli space of Higgs bundles on a curve
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