A Torelli theorem for the moduli space of Higgs bundles on a curve
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0107108,
title = {A Torelli theorem for the moduli space of Higgs bundles on a curve},
author = {Indranil Biswas and Tomas L. Gomez},
journal= {arXiv preprint arXiv:math/0107108},
year = {2007}
}
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