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Título:
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Torelli theorem for moduli spaces of SL(r,C) -connections on a compact Riemann surface.
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Autores:
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Biswas, Indranil ;
Muñoz, Vicente
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Tipo de documento:
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texto impreso
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Editorial:
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World Scientific Publ. Co. Pte. Ltd., 2009
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Tipo = Artículo
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Resumen:
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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,?)-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,?)-connections on X.
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