On the smallest poles of Igusa's \(p\)-adic zeta functions

DOI10.1007/s00209-005-0864-zzbMath1118.14028arXivmath/0509042OpenAlexW1975548483MaRDI QIDQ811849

Dirk Segers

Publication date: 23 January 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509042

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences in many variables (11D79) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40)

Related Items (3)

Determination of the real poles of the Igusa zeta function for curves ⋮ Lower bound for the poles of Igusa's \(p\)-adic zeta functions ⋮ Poles of the topological zeta function associated to an ideal in dimension two

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lectures on forms of higher degree. Notes by S. Raghavan
• Newton polyhedra and the poles of Igusa's local zeta function
• The distribution \(|v|^\lambda\), oscillating integrals and principal value integrals
• Newton polyhedra and Igusa's local zeta function
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Fonctions D'Igusa p-adiques et Polynomes de Berstein
• On the Degree of Igusa's Local Zeta Function
• Relations Between Numerical Data of an Embedded Resolution
• Poles of Igusa's local zeta function and monodromy
• On the smallest poles of topological zeta functions
• Fonctions zêta locales d'Igusa à plusieurs variables, intégration dans les fibres, et discriminants

This page was built for publication: On the smallest poles of Igusa's \(p\)-adic zeta functions