Irreducible connections admit generic oper structures
classification
🧮 math.AG
keywords
operadmitseveryg-connectiongenericirreduciblemeromorphicstructure
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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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