Note on the monodromy conjecture for a space monomial curve with a plane semigroup

DOI10.5802/crmath.30zbMath1440.14046OpenAlexW3035237881WikidataQ123271043 ScholiaQ123271043MaRDI QIDQ784353

Lena Vos, Hussein Mourtada, Jorge Martín-Morales, Willem Veys

Publication date: 3 August 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.30

Mathematics Subject Classification ID

Plane and space curves (14H50) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Singularities of curves, local rings (14H20) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Arcs and motivic integration (14E18)

Related Items (4)

Normal surface singularities with an integral homology sphere link related to space monomial curves with a plane semigroup ⋮ The monodromy conjecture for a space monomial curve with a plane semigroup ⋮ Jet schemes of quasi-homogeneous hypersurfaces and motivic monodromy conjecture for isolated quasi-homogeneous hypersurface singularities ⋮ Cremona Transformations of Weighted Projective Planes, Zariski Pairs, and Rational Cuspidal Curves

Cites Work

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• Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
• Singular Points of Complex Hypersurfaces. (AM-61)

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