Syntomic cohomology as a p-adic absolute Hodge cohomology

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Abstract

The purpose of this paper is to interpret rigid syntomic cohomology defined by Amnon Besser [Bes] as a p-adic absolute Hodge cohomology. This is a p-adic analogue of a work of Beilinson [Be1] which interprets Beilinson-Deligne cohomology in terms of absolute Hodge cohomology. In the process we will define a theory of p-adic absolute Hodge cohomology with coefficients which may be interpreted as a generalization of rigid syntomic cohomology to the case with coefficients.

Original languageEnglish
Pages (from-to)443-480
Number of pages38
JournalMathematische Zeitschrift
Volume242
Issue number3
DOIs
Publication statusPublished - 2002
Externally publishedYes

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P-adic
Cohomology
Coefficient
Analogue

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Syntomic cohomology as a p-adic absolute Hodge cohomology. / Bannai, Kenichi.

In: Mathematische Zeitschrift, Vol. 242, No. 3, 2002, p. 443-480.

Research output: Contribution to journalArticle

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