Syntomic complexes and pp-adic étale Tate twists

preprint2022arXivOpen access

Abstract

The primary goal of this paper is to identify syntomic complexes with the pp-adic étale Tate twists of Geisser--Schneider--Sato on regular pp-torsionfree schemes. Our methods apply naturally to a broader class of schemes that we call "FF-smooth". The FF-smoothness of regular schemes leads to new results on the absolute prismatic cohomology of regular schemes.

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