Motivic zeta functions on \(\mathbb{Q}\)-Gorenstein varieties

DOI10.1016/j.aim.2020.107192zbMath1454.14006arXiv1911.03354OpenAlexW2988322433MaRDI QIDQ2189482

Willem Veys, Juan Viu-Sos, Jorge Martín-Morales, Edwin León-Cardenal

Publication date: 15 June 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.03354

zbMATH Keywords

motivic zeta functionresolution of singularity\(\mathbb{Q}\)-Gorenstein varieties

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex surface and hypersurface singularities (32S25) Arcs and motivic integration (14E18)

Related Items (5)

An introduction to 𝑝-adic and motivic integration, zeta functions and invariants of singularities ⋮ Monodromy conjecture for semi‐quasihomogeneous hypersurfaces ⋮ On character varieties of singular manifolds ⋮ Noncommutative crepant resolutions, an overview ⋮ Around the motivic monodromy conjecture for non-degenerate hypersurfaces

Cites Work

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• Semistable reduction of a normal crossing \(\mathbb Q\)-divisor
• Monodromy zeta function formula for embedded \(\mathbf{Q}\)-resolutions
• Generalized monodromy conjecture in dimension two
• Embedded \(\mathbf Q\)-resolutions for Yomdin-Lê surface singularities
• Motivic integration over Deligne-Mumford stacks
• Complex surfaces with a one-dimensional set of singularities
• La fonction zeta d'une monodromie
• A resolution of three dimensional quotient-singularities in simplicial toric singularities. Three dimensional quotients
• Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
• Germs of arcs on singular algebraic varieties and motivic integration
• The topological zeta function associated to a function on a normal surface germ
• Crepant resolution of trihedral singularities
• Partial resolutions and the zeta-function of a singularity
• Motivic integration
• Mass formulas for local Galois representations and quotient singularities. II: Dualities and resolution of singularities
• Zeta Functions and ‘Kontsevich Invariants’ on Singular Varieties
• WILDER MCKAY CORRESPONDENCES
• The -cyclic McKay correspondence via motivic integration
• Local Invariants on Quotient Singularities and a Genus Formula for Weighted Plane Curves
• Cartier and Weil divisors on varieties with quotient singularities
• An introduction to $p$-adic and motivic zeta functions and the monodromy conjecture
• Mass Formulas for Local Galois Representations and Quotient Singularities. I: A Comparison of Counting Functions
• Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
• CREPANT RESOLUTION OF TRIHEDRAL SINGULARITIES AND THE ORBIFOLD EULER CHARACTERISTIC
• Zeta Functions for Curves and Log Canonical Models
• Twisted jets, motivic measures and orbifold cohomology
• Complex powers and asymptotic expansions. I. Functions of certain types.
• Gorenstein Quotient Singularities of Monomial Type in Dimension Three
• Introduction
• Monodromy eigenvalues and poles of zeta functions
• Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
• Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions

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