A note on log etale Čech cohomology
type: Item
instance of: scholarly article
title: A note on log etale Čech cohomology
zbMATH Open document ID: 0969.14010
author: Atsushi Shiho
published in: Manuscripta Mathematica
publication date: 2001-01-25T00:00:00Z
review text: In arithmetic geometry, it is important to have good comparison theorems between various cohomology theories such as Betti, étale, Čech, de Rham or crystalline cohomology. In the paper under review the author derives such a comparison theorem in the usual form of a comparison spectral sequence between log étale cohomology and log étale Čech cohomology for a certain class of log schemes. This can be viewed as a generalization of the comparison theorem of \textit{M. Artin} [Adv. Math. 7, 282-296 (1971; Zbl 0242.13021)] between étale cohomology and étale Čech cohomology.
reviewed by: Frank Neumann
Mathematics Subject Classification ID: 14F20
Mathematics Subject Classification ID: 54A10
zbMATH DE Number: 1556660
zbMATH Keywords: comparison theorem
zbMATH Keywords: log étale cohomology
zbMATH Keywords: log étale Čech cohomology
MaRDI profile type: Publication
full work available at URL: s002290070012
OpenAlex ID: W1968647404
DOI: 10.1007/S002290070012
description: scientific article; zbMATH DE number 1556660