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arXiv · 2202.04818

Syntomic complexes and $p$-adic \'etale Tate twists

Bhargav Bhatt·Akhil Mathew
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Abstract

The primary goal of this paper is to identify syntomic complexes with the $p$-adic \'etale 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.

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BibTeXRIS

Bhargav Bhatt, Akhil Mathew. 2022-02-10. Syntomic complexes and $p$-adic \'etale Tate twists. https://doi.org/10.1017/fmp.2022.21

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