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A Torelli theorem for the moduli space of Higgs bundles on a curve | | Indranil Biswas
; Tomas L. Gomez
; | | Date: |
14 Jul 2001 | | Subject: | Algebraic Geometry MSC-class: 14D20; 14C34 | math.AG | | Abstract: | 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 xi, with n and deg(xi) coprime. Let X’ and xi’ 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. | | Source: | arXiv, math.AG/0107108 | | Services: | Forum | Review | PDF | Favorites | |
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