W. Veys

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20242026

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4 papers · 1 filter

math.AG2026

The Strong Monodromy Conjecture for a class of homogeneous polynomials in three variables

Daniel Bath, Willem Veys

We consider the class of all homogeneous, possibly non-reduced, polynomials $f$ whose associated reduced projective divisor $D_{red} \subset P^{n - 1}$ has (at worst)…

math.AG2026

On a Generalized Monodromy Conjecture for Curves using Differential Forms

Lise Fonteyne, Willem Veys

Motivic and topological zeta functions are singularity invariants, mainly associated to a function $f$ and a top differential form $ω$ on a smooth variety. When $ω$ is the standard…

math.AG2025

Dicritical divisors and hypercurvettes

Enrique Artal Bartolo, Willem Veys

Germs of rational functions~ $h$ on points $p$ of smooth varieties~ $S$ define germs of rational maps to the projective line. Assume that $p$ is in the indeterminacy locus of $h$ . If…

math.AG2024

Filtrations associated with singularities

András Némethi, Willem Veys

We fix a complex analytic normal singularity germ $(X, o)$ of dimension $\geq 2$ and a (not necessarily irreducible) reduced Weil divisor $(S, o) \subset (X, o)$ . The embedded resoluti…