5 citations · 5 across the 4 of their papers we have counts for
5 papers
On the poles of topological zeta functions
Ann Lemahieu, Dirk Segers, Willem Veys
We study the topological zeta function Z_{top,f}(s) associated to a polynomial f with complex coefficients. This is a rational function in one variable and we want to determine the…
On the smallest poles of topological zeta functions
Dirk Segers, Willem Veys
We study the local topological zeta function associated to a complex function that is holomorphic at the origin of C^2 (respectively C^3). We determine all possible poles less than…
Stringy zeta functions for Q-Gorenstein varieties
Willem Veys
The stringy Euler number and stringy E-function are interesting invariants of log terminal singularities, introduced by Batyrev. He used them to formulate a topological mirror symm…
Stringy invariants of normal surfaces
Willem Veys
The stringy Euler number and E-function of Batyrev for log terminal singularities can in dimension 2 also be considered for a normal surface singularity with all log discrepancies…
Zeta functions and 'Kontsevich invariants' on singular varieties
Willem Veys
Let X be a nonsingular algebraic variety in characteristic zero. To an effective divisor on X Kontsevich has associated a certain 'motivic integral', living in a completion of the…