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

Autor:	Biswas, Indranil, Serman, Olivier
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry 14D20 14P99 14C34
Druh dokumentu:	Working Paper
Popis:	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 $X$. Comment: Final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.04318 Zobrazit plný text záznamu View this record from Arxiv