A Torelli theorem for moduli spaces of principal bundles over a curve
[Un théorème de Torelli pour les espaces des modules de fibrés principaux sur une courbe]
Annales de l'Institut Fourier, Tome 62 (2012) no. 1, pp. 87-106.

Soient X et X des surfaces de Riemann compactes de genre au moins 3, et G et G des groupes complexes réductifs non abéliens. Si une composante G d (X) de l’espace des modules de G–fibrés principaux semi-stables sur X est isomorphe à une composante G d (X ), alors X est isomorphe à X .

Let X and X be compact Riemann surfaces of genus 3, and let G and G be nonabelian reductive complex groups. If one component G d (X) of the coarse moduli space for semistable principal G–bundles over X is isomorphic to another component G d (X ), then X is isomorphic to X .

DOI : 10.5802/aif.2700
Classification : 14D20, 14C34
Keywords: Principal bundle, moduli space, Torelli theorem
Mot clés : Fibré principal, espace des modules, théorème de Torelli
Biswas, Indranil 1 ; Hoffmann, Norbert 2

1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
2 Freie Universität Berlin, Institut fûr Mathematik, Arnimallee 3, 14195 Berlin, Germany
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Biswas, Indranil; Hoffmann, Norbert. A Torelli theorem for moduli spaces of principal bundles over a curve. Annales de l'Institut Fourier, Tome 62 (2012) no. 1, pp. 87-106. doi : 10.5802/aif.2700. http://www.numdam.org/articles/10.5802/aif.2700/

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