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15 January 2001 Residues on buildings and de Rham cohomology of p-adic symmetric domains
Ehud De Shalit
Duke Math. J. 106(1): 123-191 (15 January 2001). DOI: 10.1215/S0012-7094-01-10615-7

Abstract

The cohomology of Drinfeld's p-adic symmetric domain was computed by P. Schneider and U. Stuhler in 1991. Here we propose a more explicit and combinatorial approach based on a notion of residue of a closed form along simplices in the Bruhat-Tits building. We identify the cohomology with a certain space of harmonic cochains on the building. We also answer a few questions left open in the original approach.

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Ehud De Shalit. "Residues on buildings and de Rham cohomology of p-adic symmetric domains." Duke Math. J. 106 (1) 123 - 191, 15 January 2001. https://doi.org/10.1215/S0012-7094-01-10615-7

Information

Published: 15 January 2001
First available in Project Euclid: 13 August 2004

zbMATH: 1103.14010
MathSciNet: MR1810368
Digital Object Identifier: 10.1215/S0012-7094-01-10615-7

Subjects:
Primary: 14F40
Secondary: 20E42, 20G25

Rights: Copyright © 2001 Duke University Press

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Vol.106 • No. 1 • 15 January 2001
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