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arXiv · 2412.11723

Constant case of the Grothendieck-Serre conjecture in mixed characteristic

I. Panin·A. Stavrova
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Abstract

Let D be a DVR of mixed characteristic. Let G be a reductive D-group scheme. Then the Grothendieck-Serre conjecture is true for the D-group scheme G and any geometrically regular local D-algebra R. Also we prove a version of Lindel-Ojanguren-Gabber's geometric presentation lemma in the DVR context.

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I. Panin, A. Stavrova. 2024-12-16. Constant case of the Grothendieck-Serre conjecture in mixed characteristic. https://arxiv.org/abs/2412.11723

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