W. Veys

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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 $I ¨ $ on a smooth variety. When $I ¨ $ is the standa…

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…