Comparison of Seifert formes and Denef-Loeser zeta functions of plane curve germs with an isolated singularity

DOI10.5802/AFST.1315zbMath1232.32019OpenAlexW2318747149MaRDI QIDQ650979

Philippe du Bois

Publication date: 8 December 2011

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219772

zbMATH Keywords

plane curve singularitiesDenef-Loeser zeta functionsSeifert formes

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Local complex singularities (32S05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Cites Work

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• On the integral Seifert form of plane curve germs with two branches.
• Classification of the rational Seifert forms of plane curve germs
• Determination of the poles of the topological zeta function for curves
• THE DENEF–LOESER ZETA FUNCTION IS NOT A TOPOLOGICAL INVARIANT
• Monodromy eigenvalues are induced by poles of zeta functions: the irreducible curve case
• Courbes polaires et topologie des courbes planes
• Filtration par le poids et monodromie entière
• Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
• Zeta Functions for Curves and Log Canonical Models

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