Zeta functions for germs of meromorphic functions, and Newton diagrams

DOI10.1007/BF02482595zbMath0933.32003arXivmath/9705227MaRDI QIDQ1281510

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

Publication date: 18 May 1999

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9705227

zbMATH Keywords

resolution of singularitiespartial resolutionMilnor fiberNewton diagramsmonodromy transformationA'Campo formulagerm of meromorphic functionresolution of germzeta function of monodromy

Mathematics Subject Classification ID

Meromorphic functions of several complex variables (32A20)

Related Items (15)

Monodromy zeta-function of a polynomial on a complete intersection, and Newton polyhedra ⋮ Motivic infinite cyclic covers ⋮ Zeta functions and oscillatory integrals for meromorphic functions ⋮ ON A BERNSTEIN–SATO POLYNOMIAL OF A MEROMORPHIC FUNCTION ⋮ Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito) ⋮ Motivic Milnor fibers of a rational function ⋮ Motivic Milnor fibers of a rational function ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Fibred multilinks and singularities \(f\bar g\) ⋮ The monodromy conjecture for plane meromorphic germs ⋮ Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves ⋮ The bifurcation set of a rational function via Newton polytopes ⋮ On the zeta-function of a polynomial at infinity ⋮ Deformations of polynomials and their zeta-functions ⋮ Milnor’s Fibration Theorem for Real and Complex Singularities

Cites Work

• Unnamed Item
• La fonction zeta d'une monodromie
• The noncommutative Markovian property
• Partial resolutions and the zeta-function of a singularity

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