Biswas, IndranilMuñoz, Vicente2023-06-202023-06-2020090219-199710.1142/S0219199709003260https://hdl.handle.net/20.500.14352/43776Let 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.journal articlehttp://www.worldscientific.com/doi/abs/10.1142/S0219199709003260http://www.worldscientific.commetadata only access512.7Holomorphic connectionModuli spaceTorelli theoremGeometria algebraica1201.01 Geometría Algebraica