Geodesic
A proof of a generalization of Deligne’s conjecture
Varshavsky, Yakov1
1 Institute of Mathematics, Hebrew University, Givat-Ram, Jerusalem 91904, Israel
Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 78-88 Cet article a éte moissonné depuis la source American Mathematical Society

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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.
DOI : 10.1090/S1079-6762-05-00150-2

Varshavsky, Yakov 1

1 Institute of Mathematics, Hebrew University, Givat-Ram, Jerusalem 91904, Israel 
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Varshavsky, Yakov. A proof of a generalization of Deligne’s conjecture. Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 78-88. doi: 10.1090/S1079-6762-05-00150-2

[1] Fujiwara, Kazuhiro Rigid geometry, Lefschetz-Verdier trace formula and Deligne’s conjecture Invent. Math. 1997 489 533

[2] Cohomologie 𝑙-adique et fonctions 𝐿 1977

[3] Pink, Richard On the calculation of local terms in the Lefschetz-Verdier trace formula and its application to a conjecture of Deligne Ann. of Math. (2) 1992 483 525

[4] Verdier, J.-L. Spécialisation de faisceaux et monodromie modérée 1983 332 364

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