Syntomic complexes and $p$-adic étale Tate twists

Abstract

The primary goal of this paper is to identify syntomic complexes with the $p$-adic étale Tate twists of Geisser--Schneider--Sato on regular $p$-torsionfree 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.

v2: small errors corrected, 28 pages

References in corpus (5)

• Some recent advances in topological Hochschild homology
• The prismatization of $p$-adic formal schemes
• Frobenius-Witt differentials and regularity
• A Jacobian criterion for nonsingularity in mixed characteristic
• Cartier smoothness in prismatic cohomology

Cited by in corpus (1)

• Prismatic $F$-crystals and Wach modules