Local zeta function for curves, non-degeneracy conditions and Newton polygons

DOI10.1090/S0002-9947-03-03491-3zbMath1123.11040arXivmath/0107189MaRDI QIDQ4819746

Wilson A. Zuniga-Galindo, Marcelo José Saia

Publication date: 5 October 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0107189

zbMATH Keywords

Newton polygonsnon-degeneracy conditionspolynomial congruencesIgusa local zeta functionsdegenerate curves

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40)

Related Items (5)

The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron ⋮ A new generating function for calculating the Igusa local zeta function ⋮ Torical modification of Newton non-degenerate ideals ⋮ Igusa’s Local Zeta Functions and Exponential Sums for Arithmetically Non Degenerate Polynomials ⋮ Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra

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• Poles of a Two-Variable P-Adic Complex Power
• On the Poles of Igusa's Local Zeta Function for Curves
• Poles of Igusa's local zeta function and monodromy
• Local zeta functions and Newton polyhedra

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