The auto Igusa-zeta function of a plane curve singularity is rational

DOI10.1090/proc/13183zbMath1440.14152arXiv1506.02316OpenAlexW2964352334WikidataQ128633680 ScholiaQ128633680MaRDI QIDQ4630637

Andrew R. Stout

Publication date: 23 April 2019

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

Full work available at URL: https://arxiv.org/abs/1506.02316

Mathematics Subject Classification ID

Plane and space curves (14H50) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Singularities of curves, local rings (14H20) Arcs and motivic integration (14E18)

Related Items (1)

Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function

Cites Work

• On the auto Igusa-zeta function of an algebraic curve
• Constructible motivic functions and motivic integration
• Germs of arcs on singular algebraic varieties and motivic integration
• Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero
• Lectures on Resolution of Singularities (AM-166)
• Fonctions D'Igusa p-adiques et Polynomes de Berstein
• Existentially closed models of the theory of artinian local rings
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