Zeta functions and Bernstein-Sato polynomials for ideals in dimension two

DOI10.1007/s13163-012-0101-3zbMath1334.14012arXiv1012.5437OpenAlexW3103967262MaRDI QIDQ270108

Bart Bories

Publication date: 7 April 2016

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5437

zbMATH Keywords

monomial idealBernstein-Sato polynomialmonodromy conjecturetopological zeta function

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Zeta functions and (L)-functions of number fields (11R42) Singularities of curves, local rings (14H20) Arcs and motivic integration (14E18)

Related Items (5)

Splicing motivic zeta functions ⋮ Monodromy conjecture for semi‐quasihomogeneous hypersurfaces ⋮ Igusa's \(p\)-adic local zeta function associated to a polynomial mapping and a polynomial integration measure ⋮ Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities ⋮ The Jacobian module, the Milnor fiber, and the \(D\)-module generated by \(f^s\)

Uses Software

• SINGULAR
• gaussman.lib

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized monodromy conjecture in dimension two
• Igusa's \(p\)-adic local zeta function associated to a polynomial mapping and a polynomial integration measure
• The monodromy conjecture for hyperplane arrangements
• Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach
• Newton polyhedra and Igusa's local zeta function
• The monodromy conjecture for zeta functions associated to ideals in dimension two
• Monodromy eigenvalues and zeta functions with differential forms
• Fonctions d'Igusa p-adiques, polynômes de Bernstein, et polyèdres de Newton.
• Vanishing of principal value integrals on surfaces
• Combinatorial Description of the Roots of the Bernstein–Sato Polynomials for Monomial Ideals
• Fonctions D'Igusa p-adiques et Polynomes de Berstein
• Poles of Igusa's local zeta function and monodromy
• Torification and factorization of birational maps
• Monodromy conjecture for some surface singularities
• On Igusa zeta functions of monomial ideals
• Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra
• Bernstein–Sato polynomials of arbitrary varieties
• Zeta Functions and Monodromy for Surfaces that are General for a Toric Idealistic Cluster
• Convex Analysis
• On Zeta Functions Associated with Prehomogeneous Vector Spaces
• Quasi-ordinary power series and their zeta functions

This page was built for publication: Zeta functions and Bernstein-Sato polynomials for ideals in dimension two