Lefschetz–Verdier Trace Formula and a Generalization of a Theorem of Fujiwara

Autor:	Yakov Varshavsky
Rok vydání:	2007
Předmět:	Pure mathematics Trace (linear algebra) Conjecture Generalization Additive function Geometry and Topology Algebraic geometry Function (mathematics) Analysis Mathematics
Zdroj:	GAFA Geometric And Functional Analysis. 17:271-319
ISSN:	1420-8970 1016-443X
Popis:	The goal of this paper is to generalize a theorem of Fujiwara (Deligne’s conjecture) to the situation appearing in a joint work [KV] with David Kazhdan on the global Langlands correspondence over function fields. Moreover, our proof is more elementary than the original one and stays in the realm of ordinary algebraic geometry, that is, does not use rigid geometry. We also give a proof of the Lefschetz–Verdier trace formula and of the additivity of filtered trace maps, thus making the paper essentially self-contained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d2db09b32549b80aa1a3ba1d3cacf3b9 https://doi.org/10.1007/s00039-007-0596-9 Zobrazit plný text záznamu Full text from SpringerLink