A Torelli Type Theorem for the Moduli Space of Parabolic Vector Bundles of Rank Two over Curves
نویسندگان
چکیده
Let S (respectively, S 0) be a nite subset of a compact connected Riemann surface X (respectively, X 0) of genus at least two. Let M (respectively, M 0) denote a moduli space of parabolic stable bundles of rank two over X (respectively, X 0) with xed determinant of degree one, having a nontrivial quasi-parabolic structure over each point of S (respectively, S 0), and of parabolic degree less than two. It is proved that M is isomorphic to M 0 if and only if there is an isomorphism of X with X 0 taking S to S 0 .
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