2026-06-28T04:47:13Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/437762023-06-23T10:38:38Zcom_20.500.14352_14col_20.500.14352_15

Torelli theorem for moduli spaces of SL(r,C) -connections on a compact Riemann surface. Biswas, Indranil Muñoz, Vicente 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. 2023-06-20T03:32:12Z 2023-06-20T03:32:12Z 2009 journal article 0219-1997 10.1142/S0219199709003260 https://hdl.handle.net/20.500.14352/43776 http://www.worldscientific.com/doi/abs/10.1142/S0219199709003260 http://www.worldscientific.com metadata only access World Scientific Publ. Co. Pte. Ltd.