602 citations
- Centre National de la Recherche ScientifiqueFR8 papers
- Johannes Gutenberg University MainzDE6 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR5 papers
- European Organization for Nuclear ResearchCH5 papers
- Institut Laue-LangevinFR5 papers
- University of ViennaAT5 papers
- Utrecht UniversityNL5 papers
- Ghent UniversityBE4 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR4 papers
- Jagiellonian UniversityPL4 papers
- University of AntwerpBE4 papers
- University of WarsawPL4 papers
6 papers · 2 filters
The monodromy conjecture for zeta functions associated to ideals in dimension two
Lise Van Proeyen, Willem Veys
The monodromy conjecture states that every pole of the topological (or related) zeta function induces an eigenvalue of monodromy. This conjecture has already been studied a lot; ho…
Singular hypersurfaces possessing infinitely many star points
Filip Cools, Marc Coppens
We prove that a component of the closure of the set of star points on a hypersurface X of degree d>2 in N-dimensional projective space is linear. Afterwards, we focus on the case w…
Stringy Hodge numbers of strictly canonical nondegenerate singularities
Jan Schepers
We describe a class of isolated nondegenerate hypersurface singularities that give a polynomial contribution to Batyrev's stringy E-function. These singularities are obtained by im…
On the relation between weighted trees and tropical Grassmannians
Filip Cools
In this article, we will prove that the set of 4-dissimilarity vectors of n-trees is contained in the tropical Grassmannian G_{4,n}. We will also propose three equivalent conjectur…
Star points on smooth hypersurfaces
Filip Cools, Marc Coppens
A point P on a smooth hypersurface X of degree d in an N-dimensional projective space is called a star point if and only if the intersection of X with the embedded tangent space T_…
Motivic zeta functions of abelian varieties, and the monodromy conjecture
Lars Halvard Halle, Johannes Nicaise
We prove for abelian varieties a global form of Denef and Loeser's motivic monodromy conjecture, in arbitrary characteristic. More precisely, we prove that for every tamely ramifie…