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ISSN 1079-6762


A proof of a generalization of Deligne's conjecture

Author: Yakov Varshavsky
Journal: Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 78-88
MSC (2000): Primary 14F20; Secondary 11G25, 14G15
Published electronically: September 28, 2005
MathSciNet review: 2176068
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Abstract: The goal of this paper is to give a simple proof of Deligne's conjecture on the Lefschetz trace formula (proven by Fujiwara) and to generalize it to the situation appearing in the forthcoming joint paper with D. Kazhdan. Our proof holds in the realm of ordinary algebraic geometry and does not use rigid geometry.

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Additional Information

Yakov Varshavsky
Affiliation: Institute of Mathematics, Hebrew University, Givat-Ram, Jerusalem 91904, Israel

PII: S 1079-6762(05)00150-2
Keywords: Lefschetz trace formula, Deligne's conjecture
Received by editor(s): May 16, 2005
Published electronically: September 28, 2005
Additional Notes: The work was supported by the Israel Science Foundation (Grant No. 555/04)
Communicated by: Svetlana Katok
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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