Vol. 268, No. 2, 2014

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Weight zero Eisenstein cohomology of Shimura varieties via Berkovich spaces

Michael Harris

Vol. 268 (2014), No. 2, 275–281
Abstract

We present an alternative interpretation, based on a theorem of Berkovich, of the Eisenstein classes in the cohomology of Shimura varieties, used in forthcoming work of the author with K. W. Lan, R. Taylor, and J. Thorne.

Keywords
Shimura varieties, Eisenstein cohomology, Berkovich spaces
Mathematical Subject Classification 2010
Primary: 11G18, 14G35
Secondary: 14G22
Milestones
Received: 6 July 2012
Accepted: 9 December 2013
Published: 21 June 2014
Authors
Michael Harris
Institut de Mathématiques de Jussieu
U.M.R. 7586 du CNRS
France
UFR de Mathématiques
Université Paris 7 Denis Diderot
France