A Torelli type theorem for the moduli space of rank two connections on a curve

Biswas, Indranil ; Nagel, Jan (2005) A Torelli type theorem for the moduli space of rank two connections on a curve Comptes Rendus Mathematique, 341 (10). pp. 617-622. ISSN 1631-073X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S16310...

Related URL: http://dx.doi.org/10.1016/j.crma.2005.09.043

Abstract

Let (X,x0) be a pointed Riemann surface of genus g≥ 4, and let M x be the moduli space parameterizing logarithmic SL(2,C)-connections on X that are singular exactly over x0 and have residue -Id/2. We show that the moduli space M x determines X up to isomorphism.

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