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

Indranil Biswas; Olivier Serman

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arXiv · 1704.04318

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

Indranil Biswas·Olivier Serman

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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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Indranil Biswas, Olivier Serman. 2017-04-14. A Torelli theorem for moduli spaces of principal bundles on curves defined over $\mathbb R$. https://arxiv.org/abs/1704.04318

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