Zeta Functions and ‘Kontsevich Invariants’ on Singular Varieties

DOI10.4153/CJM-2001-034-1zbMath1073.14501arXivmath/0003025MaRDI QIDQ2762714

Willem Veys

Publication date: 3 July 2002

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003025

zbMATH Keywords

topological zeta functionmotivic zeta functionsingularity invariant

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (16)

Splicing motivic zeta functions ⋮ Monodromy eigenvalues and zeta functions with differential forms ⋮ Monodromy conjecture for some surface singularities ⋮ Stringy Chern classes of singular varieties ⋮ On the algebraic stringy Euler number ⋮ Motivic zeta functions on \(\mathbb{Q}\)-Gorenstein varieties ⋮ The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold ⋮ Generalized monodromy conjecture in dimension two ⋮ Newton Transformations and the Motivic Milnor Fiber of a Plane Curve ⋮ The strong monodromy conjecture for monomial ideals on toric varieties ⋮ Stringy zeta functions for \(\mathbb Q\)-Gorenstein varieties ⋮ Newton transformations and motivic invariants at infinity of plane curves ⋮ On motivic principal value integrals ⋮ Stringy invariants of normal surfaces ⋮ Vanishing of principal value integrals on surfaces ⋮ Birational boundedness of low-dimensional elliptic Calabi–Yau varieties with a section

This page was built for publication: Zeta Functions and ‘Kontsevich Invariants’ on Singular Varieties