Irreducible connections admit generic oper structures

2016/02/29 by Arinkin, Dima · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.08989

Abstract

Let G be a connected reductive group and X be a smooth curve over an algebraically closed field of characteristic zero. We show that every meromorphic G-connection on X admits a possibly degenerate oper structure; in particular, every irreducible meromorphic G-connection admits a generic oper structure.

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• An explicit local geometric Langlands for supercuspidal representations: the toral case

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