The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron

DOI10.1515/amsil-2016-0010zbMath1386.14090OpenAlexW2485654870MaRDI QIDQ2363640

Hans Schoutens

Publication date: 25 July 2017

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amsil-2016-0010

zbMATH Keywords

Newton polyhedronnon-degeneracy conditionsstationary phase formulamotivic Igusa's zeta functions

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Grothendieck groups (category-theoretic aspects) (18F30)

Related Items (1)

Jet schemes of quasi-homogeneous hypersurfaces and motivic monodromy conjecture for isolated quasi-homogeneous hypersurface singularities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classifying singularities up to analytic extensions of scalars is smooth
• Zeta-function of monodromy and Newton's diagram
• Germs of arcs on singular algebraic varieties and motivic integration
• Newton polyhedra and Igusa's local zeta function
• Arc spaces and Alexander invariants
• Determination of the poles of the topological zeta function for curves
• Igusa's local zeta functions of semiquasihomogeneous polynomials
• Néron Models
• Poles of Igusa's local zeta function and monodromy
• Local zeta function for curves, non-degeneracy conditions and Newton polygons
• Local zeta functions and Newton polyhedra
• Quasi-ordinary power series and their zeta functions

This page was built for publication: The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron