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Biswas, Indranil and Muñoz, Vicente
(2009)
*Torelli theorem for moduli spaces of SL(r,C) -connections on a compact Riemann surface.*
Communications in contemporary mathematics, 11
(1).
pp. 1-26.
ISSN 0219-1997

Official URL: http://www.worldscientific.com/doi/abs/10.1142/S0219199709003260

## Abstract

Let X be any compact connected Riemann surface of genus g, with g ≥ 3. For any r ≥ 2, let denote the moduli space of holomorphic SL(r,ℂ)-connections over X. It is known that the biholomorphism class of the complex variety is independent of the complex structure of X. If g = 3, then we assume that r ≥ 3. We prove that the isomorphism class of the variety determines the Riemann surface X uniquely up to an isomorphism. A similar result is proved for the moduli space of holomorphic GL(r,ℂ)-connections on X.

Item Type: | Article |
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Uncontrolled Keywords: | Holomorphic connection; Moduli space; Torelli theorem |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 21030 |

Deposited On: | 24 Apr 2013 13:07 |

Last Modified: | 12 Dec 2018 15:13 |

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