A Torelli theorem for moduli spaces of principal bundles on curves defined over \mathbb R

2017/04/14 by Biswas, Indranil, Serman, Olivier
#14C34 #14D20 #14P99 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.04318

Abstract

Let X be a geometrically irreducible smooth projective curve, of genus at least three, defined over the field of real numbers. Let G be a connected reductive affine algebraic group, defined over \mathbb R, such that G is nonabelian and has one simple factor. We prove that the isomorphism class of the moduli space of principal G--bundles on X determine uniquely the isomorphism class of X.

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