Newton polyhedra, unstable faces and the poles of Igusa’s local zeta function

DOI10.1090/S0002-9947-03-03507-4zbMath1040.11087OpenAlexW1596112190MaRDI QIDQ4452261

Kathleen Hoornaert

Publication date: 12 February 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03507-4

zbMATH Keywords

Newton polyhedrapoles of Igusa's local functions

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) 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 (1)

IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES

Uses Software

• Maple

Cites Work

• The rationality of the Poincaré series associated to the p-adic points on a variety
• Newton polyhedron and \(f^ s_ +\) distribution. II
• Newton polyhedra and the poles of Igusa's local zeta function
• Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions
• Newton polyhedra and Igusa's local zeta function
• Local Zeta Functions Supported on Analytic Submanifolds and Newton Polyhedra
• On the Degree of Igusa's Local Zeta Function
• Complex powers and asymptotic expansions. II.
• On the growth and stability of real-analytic functions
• Convex Analysis
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