\(p\)-adic Hodge theory for open varieties
type: Item
instance of: scholarly article
title: \(p\)-adic Hodge theory for open varieties
zbMATH Open document ID: 1252.14016
author: Go Yamashita
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2011-12-07T00:00:00Z
review text: This note is an announcement of the author's results concerning the comparison theorems in \(p\)-adic Hodge theory (Fontaine-Jannsen's \(\mathrm{C}_{\mathrm{st}}\) conjecture) for open varieties. The preprint ``\(p\)-adic étale cohomology and crystalline cohomology for open varieties with semistable reduction'' that contains the full proof was still under review as this note was published. The ingredients of the proof are syntomic cohomology and logarithmic geometry, more precisely ``hollow log schemes''.
reviewed by: Laurent Berger
Mathematics Subject Classification ID: 14F30
zbMATH DE Number: 5986960
zbMATH Keywords: \(p\)-adic Hodge theory
zbMATH Keywords: syntomic cohomology
zbMATH Keywords: logarithmic geometry
zbMATH Keywords: crystalline cohomology
zbMATH Keywords: etale cohomology
zbMATH Keywords: semistable reduction
MaRDI profile type: Publication
full work available at URL: j.crma.2011.10.016
OpenAlex ID: W2077760804
cites work: \(p\)-adic representations and differential equations
cites work: Smoothness, semi-stability and alterations
cites work: On the De Rham cohomology of algebraic varieties
cites work: Algebraic De Rham cohomology
cites work: Q4325445
cites work: Logarithmic structures of Fontaine-Illusie. II
cites work: Q4855228
cites work: \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
cites work: Q4264425
cites work: Q4539744
DOI: 10.1016/J.CRMA.2011.10.016
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description: scientific article; zbMATH DE number 5986960