Monodromy conjecture for semi‐quasihomogeneous hypersurfaces

DOI10.1002/mana.202100376arXiv2106.11015OpenAlexW3176962356WikidataQ123185061 ScholiaQ123185061MaRDI QIDQ6093826

Nero Budur, Guillem Blanco, Robin van der Veer

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11015

zbMATH Keywords

monodromymotivic zeta function\(b\)-functionsemi-quasihomogeneous hypersurface

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Arcs and motivic integration (14E18)

Cites Work

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• Zeta functions and Bernstein-Sato polynomials for ideals in dimension two
• Bernstein-Sato ideals and local systems
• On the structure of Brieskorn lattice
• Polyedres de Newton et nombres de Milnor
• On the holonomic systems of linear differential equations. II
• On \(b\)-function, spectrum and rational singularity
• Upper bounds for roots of \(b\)-functions, following Kashiwara and Lichtin
• Hodge ideals and spectrum of isolated hypersurface singularities
• Motivic zeta functions on \(\mathbb{Q}\)-Gorenstein varieties
• Monodromy of isolated singularities of hypersurfaces
• Preuve d'une conjecture de Brieskorn
• Igusa's local zeta functions of semiquasihomogeneous polynomials
• Fonctions D'Igusa p-adiques et Polynomes de Berstein
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• On microlocal $b$-function
• Analytic types of plane curve singularities defined by weighted homogeneous polynomials
• Monodromy eigenvalues and poles of zeta functions

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