Local zeta functions and Euler characteristics

DOI10.1215/S0012-7094-91-06330-1zbMath0738.11060OpenAlexW2023739723MaRDI QIDQ1180463

Jan Denef

Publication date: 27 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06330-1

zbMATH Keywords

polesIgusa's local zeta functions

Mathematics Subject Classification ID

Zeta functions and (L)-functions (11S40)

Related Items (15)

A new generating function for calculating the Igusa local zeta function ⋮ Poles of Igusa's local zeta function and monodromy ⋮ Igusa's conjecture on exponential sums modulo \(p^m\) and the local-global principle ⋮ Introduction to 𝑝-adic Igusa zeta functions ⋮ An introduction to 𝑝-adic and motivic integration, zeta functions and invariants of singularities ⋮ Igusa zeta functions and the non-archimedean SYZ fibration ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Euler Characteristics Associated to Exceptional Divisors ⋮ IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES ⋮ On the motivic oscillation index and bound of exponential sums modulo \(p^m\) via analytic isomorphisms ⋮ THE HOLOMORPHY CONJECTURE FOR NONDEGENERATE SURFACE SINGULARITIES ⋮ Computing topological zeta functions of groups, algebras, and modules, I ⋮ Holomorphy of local zeta functions for curves ⋮ Poles of maximal order of motivic zeta functions

Cites Work

• Lectures on forms of higher degree. Notes by S. Raghavan
• La fonction zeta d'une monodromie
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Seminaire de géométrie algébrique du Bois-Marie 1965-66 SGA 5 dirige par A. Grothendieck avec la collaboration de I. Bucur, C. Houzel, L. Illusie, J.-P. Jouanolou et J. -P. Serre. Cohomologie \(\ell\)-adique et fonctions L
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 3: Exp. IX--XIX
• Fonctions d'Igusa p-adiques, polynômes de Bernstein, et polyèdres de Newton.
• Fonctions D'Igusa p-adiques et Polynomes de Berstein
• On the Degree of Igusa's Local Zeta Function
• Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
• Poles of Igusa's local zeta function and monodromy
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