602 citations
- Centre National de la Recherche ScientifiqueFR6 papers
- European Organization for Nuclear ResearchCH5 papers
- University of ViennaAT5 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
- Johannes Gutenberg University MainzDE4 papers
- University of WarsawPL4 papers
- Institut Laue-LangevinFR3 papers
- Los Alamos National LaboratoryUS3 papers
- Observatoire de ParisFR3 papers
- Radboud University NijmegenNL3 papers
- University of AntwerpBE3 papers
- University of CologneDE3 papers
6 papers · 2 filters
Poles of the topological zeta function for plane curves and Newton polyhedra
Ann Lemahieu, Lise Van Proeyen
The local topological zeta function is a rational function associated to a germ of a complex holomorphic function. This function can be computed from an embedded resolution of sing…
The holomorphy conjecture for ideals in dimension two
Ann Lemahieu, Lise Van Proeyen
The holomorphy conjecture predicts that the local Igusa zeta function associated to a hypersurface and a character is holomorphic on whenever the order of the characte…
A tropical interpretation of m-dissimilarity maps
C. Bocci, F. Cools
Let T be a weighted tree with n numbered leaves and let D be its distance matrix, so D(i,j) is the distance between the leaves i and j. If m is an integer between 2 and n, we prove…
On the Hard Lefschetz property of stringy Hodge numbers
Jan Schepers
For projective varieties with a certain class of 'mild' isolated singularities and for projective threefolds with arbitrary Gorenstein canonical singularities, we show that the str…
Zeta functions and monodromy for surfaces that are general for a toric idealistic cluster
Ann Lemahieu, Willem Veys
In this article we consider surfaces that are general with respect to a 3- dimensional toric idealistic cluster. In particular, this means that blowing up a toric constellation pro…
On nondegeneracy of curves
Wouter Castryck, John Voight
A curve is called nondegenerate if it can be modeled by a Laurent polynomial that is nondegenerate with respect to its Newton polytope. We show that up to genus 4, every curve is n…