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A Torelli type theorem for the moduli space of parabolic vector bundles over curves
Published online by Cambridge University Press: 26 March 2001
Abstract
Let S (respectively, S′) be a finite subset of a compact connected Riemann surface X (respectively, X′) of genus at least two. Let [Mscr ] (respectively, [Mscr ]′) denote a moduli space of parabolic stable bundles of rank 2 over X (respectively, X′) with fixed determinant of degree 1, having a nontrivial quasi-parabolic structure over each point of S (respectively, S′) and of parabolic degree less than 2. It is proved that [Mscr ] is isomorphic to [Mscr ]′ if and only if there is an isomorphism of X with X′ taking S to S′.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 2 , March 2001 , pp. 269 - 280
- Copyright
- 2001 Cambridge Philosophical Society
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