Affiliation:
1. Department of Mathematics University of Texas at Austin Austin Texas USA
2. Department of Mathematics University of North Carolina at Chapel Hill Chapel Hill North Carolina USA
Abstract
AbstractLet be a simple algebraic group over an algebraically closed field . Let be a finite group acting on . We classify and compute the local types of ‐bundles on a smooth projective ‐curve in terms of the first nonabelian group cohomology of the stabilizer groups at the tamely ramified points with coefficients in . When , we prove that any generically simply connected parahoric Bruhat–Tits group scheme can arise from a ‐bundle. We also prove a local version of this theorem, that is, parahoric group schemes over the formal disc arise from constant group schemes via tamely ramified coverings.
Funder
National Science Foundation
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