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Syntomic complexes and p -adic étale Tate twists

Bhargav Bhatt, Akhil Mathew

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Source: Crossref

Published: Jan 1, 2023

DOI: 10.1017/fmp.2022.21

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Source abstract

Abstract The primary goal of this paper is to identify syntomic complexes with the p -adic étale Tate twists of Geisser–Sato–Schneider on regular p -torsion-free schemes. Our methods apply naturally to a broader class of schemes that we call ‘ F -smooth’. The F -smoothness of regular schemes leads to new results on the absolute prismatic cohomology of regular schemes.

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Syntomic complexes and p -adic étale Tate twists — Mathematical Frontier Network