Logarithmic Prismatic Cohomology via Logarithmic THH-Reference-Cited by-同舟云学术

Logarithmic Prismatic Cohomology via Logarithmic THH

Published:2023-09-27 Issue:22 Volume:2023 Page:19641-19696
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Binda Federico¹,Lundemo Tommy²,Park Doosung²,Østvær Paul Arne¹³

Affiliation:

1. Department of Mathematics “F. Enriques”, University of Milan , Italy

2. Department of Mathematics and Informatics, University of Wuppertal , Germany

3. Department of Mathematics, University of Oslo , Norway

Abstract

Abstract Inspired by Bhatt–Morrow–Scholze’s work on $\textrm{THH}$, we define Nygaard-completed log prismatic cohomology based on log topological Hochschild homology via filtrations on log $\textrm{THH}$ and its variants. Moreover, of independent interest, we describe log $\textrm{THH}$ for quasiregular semiperfectoid pre-log rings as a $1$-parameter deformation of ordinary, non-logarithmic Hochschild homology.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/22/19641/53637018/rnad224.pdf

Reference40 articles.

1. Periodic cyclic homology and derived de Rham cohomology;Antieau;Ann. K-Theory,2019

2. On the K-theory of $\mathbb{Z}/{p}^n$ – announcement;Antieau,2022.

3. p-adic derived de Rham cohomology;Bhatt

4. Topological Hochschild homology and integral $p$-adic Hodge theory;Bhatt;Publ. Math. Inst. Hautes Études Sci.,2019

5. Prisms and prismatic cohomology;Bhatt;Ann. Math. (2),2022

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