The motivic Igusa zeta function of a space monomial curve with a plane semigroup

DOI10.1515/advgeom-2021-0009zbMath1474.14027arXiv1903.02354OpenAlexW3180729370MaRDI QIDQ2046819

Willem Veys, Lena Vos, Hussein Mourtada

Publication date: 19 August 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02354

zbMATH Keywords

jet schemescurve singularitiesmotivic Igusa zeta function

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of curves, local rings (14H20) Deformations of singularities (14B07) Arcs and motivic integration (14E18)

Related Items (2)

Resolving singularities of curves with one toric morphism ⋮ Normal surface singularities with an integral homology sphere link related to space monomial curves with a plane semigroup

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Poles of maximal order of motivic zeta functions
• Splicing motivic zeta functions
• Jet schemes of complex plane branches and equisingularity
• On a question of B. Teissier
• Deforming spaces of \(m\)-jets of hypersurfaces singularities
• Jet schemes and minimal embedded desingularization of plane branches
• Torical modification of Newton non-degenerate ideals
• The monodromy conjecture for zeta functions associated to ideals in dimension two
• Jet schemes and generating sequences of divisorial valuations in dimension two
• Sur la formule de Siegel dans la théorie des groupes classiques
• Valuations in Function Fields of Surfaces
• Monodromy eigenvalues are induced by poles of zeta functions: the irreducible curve case
• Fonctions D'Igusa p-adiques et Polynomes de Berstein
• Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
• Singularities of pairs via jet schemes
• Singularities of Pairs
• Poles of Zeta Functions on Normal Surfaces
• Jet schemes of normal toric surfaces
• Complex powers and asymptotic expansions. I. Functions of certain types.
• IMPANGA lecture notes on log canonical thresholds<br>Notes by Tomasz Szemberg
• Overweight deformations of affine toric varieties and local uniformization
• JET SCHEMES OF QUASI-ORDINARY SURFACE SINGULARITIES
• On Igusa zeta functions of monomial ideals
• Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
• Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra
• Compactifications of subvarieties of tori

This page was built for publication: The motivic Igusa zeta function of a space monomial curve with a plane semigroup