Partial resolutions and the zeta-function of a singularity

DOI10.1007/s000140050014zbMath0901.32024OpenAlexW2030915893MaRDI QIDQ1379578

Sabir M. Gusein-Zade, I. Luengo Velasco, Alejandro Melle-Hernández

Publication date: 26 November 1998

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140050014

zbMATH Keywords

resolution of singularitiesEuler characteristicmonodromyzeta functionMilnor fiberhypersurface singularitygerm of a holomorphic function

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Complex surface and hypersurface singularities (32S25)

Related Items (12)

Multivariate Abel-Ruffini ⋮ Semistable reduction of a normal crossing \(\mathbb Q\)-divisor ⋮ Monodromy zeta function formula for embedded \(\mathbf{Q}\)-resolutions ⋮ Motivic zeta functions on \(\mathbb{Q}\)-Gorenstein varieties ⋮ Milnor numbers for surface singularities ⋮ Embedded \(\mathbf Q\)-resolutions for Yomdin-Lê surface singularities ⋮ Monodromies at infinity of confluent \(A\)-hypergeometric functions ⋮ Characteristic classes of affine varieties and Plücker formulas for affine morphisms ⋮ Number of Jordan blocks of the maximal size for local monodromies ⋮ Zeta functions for germs of meromorphic functions, and Newton diagrams ⋮ On the zeta-function of a polynomial at infinity ⋮ Deformations of polynomials and their zeta-functions

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