Über die Kohomologie einiger arithmetischer Varietäten. I
type: Item
instance of: scholarly article
title: Über die Kohomologie einiger arithmetischer Varietäten. I
zbMATH Open document ID: 0567.14012
DOI: 10.1007/BF01472139
author: Ulrich Stuhler
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164081
review text: The goal of this paper is the computation of the (étale) cohomology of certain arithmetic varieties, which can be obtained as quotients of a product of several p-adic ''upper half planes'' by appropriate arithmetic groups, in particular unit groups of quaternion algebras. Though the situation differs from the corresponding classical one, because the p-adic ''upper half-plane'' has non trivial étale cohomology the final relation of the étale cohomology of the quotient \(\chi_{\Gamma}\) to the cohomology of the discrete group parallels exactly the corresponding classical results of \textit{Y. Matsushima} and \textit{G. Shimura} [Ann. Math., II. Ser. 78, 417-449 (1963; Zbl 0141.387)].
Mathematics Subject Classification ID: 14F20
Mathematics Subject Classification ID: 14G20
zbMATH DE Number: 3904737
zbMATH Keywords: étale cohomology
zbMATH Keywords: quotients by arithmetic groups
zbMATH Keywords: arithmetic varieties
MaRDI profile type: Publication
cites work: Q3885948
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OpenAlex ID: W2912179794
description: scientific article; zbMATH DE number 3904737