Syntomic complexes and $p$-adic \'etale Tate twists
Algebraic Geometry
2023-01-09 v2 K-Theory and Homology
Number Theory
Abstract
The primary goal of this paper is to identify syntomic complexes with the -adic \'etale Tate twists of Geisser--Schneider--Sato on regular -torsionfree schemes. Our methods apply naturally to a broader class of schemes that we call "-smooth". The -smoothness of regular schemes leads to new results on the absolute prismatic cohomology of regular schemes.
Keywords
Cite
@article{arxiv.2202.04818,
title = {Syntomic complexes and $p$-adic \'etale Tate twists},
author = {Bhargav Bhatt and Akhil Mathew},
journal= {arXiv preprint arXiv:2202.04818},
year = {2023}
}
Comments
v2: small errors corrected, 28 pages