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.