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- W4380611307 abstract "Let G $G$ be a simple algebraic group over an algebraically closed field k $k$ . Let Γ $Gamma$ be a finite group acting on G $G$ . We classify and compute the local types of ( Γ , G ) $(Gamma , G)$ -bundles on a smooth projective Γ $Gamma$ -curve in terms of the first nonabelian group cohomology of the stabilizer groups at the tamely ramified points with coefficients in G $G$ . When char ( k ) = 0 $text{char}(k)=0$ , we prove that any generically simply connected parahoric Bruhat–Tits group scheme can arise from a ( Γ , G ad ) $(Gamma ,G_{mathrm{ad}})$ -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." @default.
- W4380611307 created "2023-06-15" @default.
- W4380611307 creator A5052026283 @default.
- W4380611307 creator A5071009087 @default.
- W4380611307 date "2023-06-14" @default.
- W4380611307 modified "2023-09-28" @default.
- W4380611307 title "Local types of (Γ,G)$(Gamma ,G)$‐bundles and parahoric group schemes" @default.
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- W4380611307 doi "https://doi.org/10.1112/plms.12544" @default.
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