\(p\)-adic analytic spaces
type: Item
instance of: scholarly article
title: \(p\)-adic analytic spaces
zbMATH Open document ID: 0949.14010
author: Vladimir G. Berkovich
published in: Documenta Mathematica
publication date: 1998-08-06T00:00:00Z
full work available at URL: https://eudml.org/doc/233558
full work available at URL: Berkovich.MAN.html
review text: Summary: This report is a review of results in \(p\)-adic analytic geometry based on a new notion of analytic spaces. We explain the definition of analytic spaces, basic ideas of étale cohomology for them, an application to a conjecture of Deligne on vanishing cycles, the homotopy description of certain analytic spaces, and a relation between the étale cohomology of an algebraic variety and the topological cohomology of the associated analytic space.
Mathematics Subject Classification ID: 14G20
Mathematics Subject Classification ID: 32P05
Mathematics Subject Classification ID: 11G25
Mathematics Subject Classification ID: 14F20
Mathematics Subject Classification ID: 32C37
zbMATH DE Number: 1184271
zbMATH Keywords: étale cohomology
zbMATH Keywords: vanishing cycles
zbMATH Keywords: \(p\)-adic analytic geometry
zbMATH Keywords: homotopy
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1184271