Stringy zeta functions for \(\mathbb Q\)-Gorenstein varieties

DOI10.1215/S0012-7094-03-12031-1zbMath1089.14006arXivmath/0303111MaRDI QIDQ1430445

Willem Veys

Publication date: 27 May 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303111

zbMATH Keywords

stringy Euler numberstringy zeta function

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of surfaces or higher-dimensional varieties (14J17) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (9)

The wild McKay correspondence via motivic integration ⋮ Stringy Chern classes of singular varieties ⋮ Open problems in the wild McKay correspondence and related fields ⋮ The strong monodromy conjecture for monomial ideals on toric varieties ⋮ Equivariant Hirzebruch classes and Molien series of quotient singularities ⋮ On motivic principal value integrals ⋮ Motivic zeta functions and infinite cyclic covers ⋮ Nonstandard Point Counting for Algebraic Varieties ⋮ Evaluation of motivic functions, non-nullity, and integrability in fibers

Cites Work

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• Théoremes de Bertini et applications
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• 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
• Notes on embeddings of blowups
• Seiberg-Witten invariants and surface singularities
• Toroidal varieties and the weak factorization theorem
• String cohomology of Calabi-Yau hypersurfaces via mirror symmetry. Appendix: \(G\)-polynomials
• Elliptic genera of toric varieties and applications to mirror symmetry
• Chern numbers for singular varieties and elliptic homology.
• The Grothendieck ring of varieties is not a domain.
• Elliptic genera of singular varieties.
• Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• On the string-theoretic Euler number of 3-dimensional A-D-E singularities
• Zeta Functions and ‘Kontsevich Invariants’ on Singular Varieties
• A Functional Equation of Igusa's Local Zeta Function
• Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
• Torification and factorization of birational maps
• Stringy invariants of normal surfaces
• The universal Euler characteristic for varieties of characteristic zero
• On the string-theoretic Euler number of a class of absolutely isolated singularities

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