Publication

On the Grothendieck-Serre conjecture for classical groups

Eva Bayer Fluckiger
2022
Journal Articles

Abstract

We prove some new cases of the Grothendieck-Serre conjecture for classical groups. This is based on a new construction of the Gersten-Witt complex for Witt groups of Azumaya algebras with involution on regular semilocal rings, with explicit second residue maps; the complex is shown to be exact when the ring is of dimension

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On the Grothendieck-Serre conjecture for classical groups

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