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  Generically isotropic reductive group schemes are locally isotropic

Fedorov, R. (submitted). Generically isotropic reductive group schemes are locally isotropic.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000F-9BD7-0 Version Permalink: https://hdl.handle.net/21.11116/0000-000F-9BD8-F
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Fedorov, Roman1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 Abstract: Let R be a semilocal geometrically factorial Noetherian domain of characteristic zero. We show that a reductive R-group scheme is isotropic if it is generically isotropic. We derive various consequences, in particular for the Grothenieck-Serre conjecture and for homotopic invariance of torsors.

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Language(s): eng - English
 Dates: 2023-04-112023-03-10
 Publication Status: Submitted
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 Rev. Type: No review
 Identifiers: arXiv: 2303.05853
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