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1 November 2001 Logarithmic differential forms on p-adic symmetric spaces
Adrian Iovita, Michael Spiess
Duke Math. J. 110(2): 253-278 (1 November 2001). DOI: 10.1215/S0012-7094-01-11023-5

Abstract

We give an explicit description in terms of logarithmic differential forms of the isomorphism of P. Schneider and U. Stuhler relating de Rham cohomology of p-adic symmetric spaces to boundary distributions. As an application we prove a Hodge-type decomposition for the de Rham cohomology of varieties over p-adic fields which admit a uniformization by a p-adic symmetric space.

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Adrian Iovita. Michael Spiess. "Logarithmic differential forms on p-adic symmetric spaces." Duke Math. J. 110 (2) 253 - 278, 1 November 2001. https://doi.org/10.1215/S0012-7094-01-11023-5

Information

Published: 1 November 2001
First available in Project Euclid: 18 June 2004

zbMATH: 1100.14505
MathSciNet: MR1865241
Digital Object Identifier: 10.1215/S0012-7094-01-11023-5

Subjects:
Primary: 11F85
Secondary: 14F40, 14G22

Rights: Copyright © 2001 Duke University Press

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Vol.110 • No. 2 • 1 November 2001
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