Monodromy eigenvalues are induced by poles of zeta functions: the irreducible curve case

DOI10.1112/blms/bdp128zbMath1193.14006OpenAlexW1984968976MaRDI QIDQ3552166

András Némethi, Willem Veys

Publication date: 13 April 2010

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdp128

zbMATH Keywords

zeta functionmonodromy conjectureirreducible curve singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Plane and space curves (14H50) Singularities of curves, local rings (14H20) Local complex singularities (32S05)

Related Items (7)

An introduction to 𝑝-adic and motivic integration, zeta functions and invariants of singularities ⋮ Monodromy conjecture and the Hessian differential form ⋮ Generalized monodromy conjecture in dimension two ⋮ Comparison of Seifert formes and Denef-Loeser zeta functions of plane curve germs with an isolated singularity ⋮ The monodromy conjecture for plane meromorphic germs ⋮ Motivic zeta functions and infinite cyclic covers ⋮ The motivic Igusa zeta function of a space monomial curve with a plane semigroup

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