Balaji, V. ; Biswas, Indranil ; Del Bano Rollin, Sebastian (2001) A Torelli type theorem for the moduli space of parabolic vector bundles over curves Mathematical Proceedings of the Cambridge Philosophical Society, 130 (2). pp. 269-280. ISSN 0305-0041
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Official URL: http://journals.cambridge.org/abstract_S0305004100...
Related URL: http://dx.doi.org/10.1017/S0305004100004916
Abstract
Let S (respectively, S') be a finite subset of a compact connected Riemann surface X (respectively, X') of genus at least two. Let [script M] (respectively, [script M]') 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 [script M] is isomorphic to [script M]' if and only if there is an isomorphism of X with X' taking S to S'.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Cambridge University Press. |
| ID Code: | 3637 |
| Deposited On: | 18 Oct 2010 10:16 |
| Last Modified: | 11 May 2011 05:42 |
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