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On the Gersten conjecture for hermitian Witt groups

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arxiv 2201.10715 v1 pith:EI7ORGWL submitted 2022-01-26 math.KT

Stefan Gille , Ivan Panin This is my paper · ORCID
classification math.KT
keywords hermitianringalgebrasazumayacomplexconjecturediscreteessentially
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We prove that the hermitian Gersten-Witt complex is exact for Azumaya algebras with involution of the first- or second kind over a regular local ring, which is essentially smooth over a field, or over a discrete valuation ring.

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  1. Constant case of the Grothendieck-Serre conjecture in mixed characteristic

    math.AG 2024-12 conditional novelty 8.0 of 10

    The constant case of the Grothendieck-Serre conjecture is proved for reductive group schemes over any geometrically regular local algebra over a mixed-characteristic DVR.

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