Stringy E-functions of hypersurfaces and of Brieskorn singularities

DOI10.1515/ADVGEOM.2009.013zbMath1179.14002arXiv0706.0798MaRDI QIDQ3632737

Jan Schepers, Willem Veys

Publication date: 12 June 2009

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0798

zbMATH Keywords

hypersurfaceNewton polyhedronmotivic zeta-functionstringy Hodge numbersstringy E-function

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Hypersurfaces and algebraic geometry (14J70)

Related Items (4)

Stringy Hodge numbers of strictly canonical nondegenerate singularities ⋮ Motivic zeta functions and infinite cyclic covers ⋮ On the hard Lefschetz property of stringy Hodge numbers ⋮ Stringy invariants and toric Artin stacks

Uses Software

• SINGULAR
• reszeta.lib

Cites Work

• On canonical singularities as total spaces of deformations
• On the hard Lefschetz property of stringy Hodge numbers
• Jet schemes, log discrepancies and inversion of adjunction
• String cohomology of Calabi-Yau hypersurfaces via mirror symmetry. Appendix: \(G\)-polynomials
• Newton polyhedra and Igusa's local zeta function
• A new cohomology theory of orbifold
• On the periods of certain rational integrals. I, II
• On crepant resolution of some hypersurface singularities and a criterion for UFD
• Torification and factorization of birational maps
• Inversion of adjunction for local complete intersection varieties
• On the string-theoretic Euler number of a class of absolutely isolated singularities

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