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Weak elementary fibrations

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arxiv 2302.02837 v1 pith:P43XYU5B submitted 2023-02-06 math.AG

Ning Guo , Ivan Panin This is my paper · ORCID
classification math.AG
keywords elementarynotionfibrationweakartincasescertainexist
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We introduce a notion of a weak elementary fibration and prove that it does exist in certain interesting cases. Our notion is a modification of the M. Artin's notion of an elementary fibration.

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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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