A Torelli Theorem for the Moduli Space of Higgs Bundles on a Curve
نویسنده
چکیده
Let X be a smooth projective curve over C, and let M X 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. We prove that if M X and M n,ξ X are isomorphic as algebraic varieties, then X and X ′ are isomorphic.
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تاریخ انتشار 2002