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Period sheaves via derived de Rham cohomology

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)2377-2406
Number of pages30
JournalCompositio Mathematica
Volume157
Issue number11
DOIs
StatePublished - Nov 6 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
©

Keywords

  • crystalline cohomology
  • derived de Rham cohomology
  • p-adic Hodge theory
  • period sheaf

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