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Period sheaves via derived de Rham cohomology

Part of: Arithmetic problems. Diophantine geometry (Co)homology theory

Published online by Cambridge University Press:  06 October 2021

Haoyang Guo  and
Shizhang Li
Haoyang Guo
Affiliation:
Max Planck Institute for Mathematics, Vivatsgasse 7, Bonn 53111, Germany hguo@mpim-bonn.mpg.de
Shizhang Li
Affiliation:
Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109, USA shizhang@umich.edu
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Abstract

In this paper we give an interpretation, in terms of derived de Rham complexes, of Scholze's de Rham period sheaf and Tan and Tong's crystalline period sheaf.

Keywords

period sheafderived de Rham cohomologyp-adic Hodge theorycrystalline cohomology

MSC classification

Primary: 14F30: $p$-adic cohomology, crystalline cohomology 14F40: de Rham cohomology 14G22: Rigid analytic geometry

Information

Type
Research Article
Information
Compositio Mathematica , Volume 157 , Issue 11 , November 2021 , pp. 2377 - 2406
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Copyright
© 2021 The Author(s). The publishing rights in this article are licensed to Foundation Compositio Mathematica under an exclusive licence

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