Daniel Bath

collaborators

4 papers

math.AG2026

Tropical resolutions of configuration hypersurfaces

Daniel Bath, Graham Denham, Mathias Schulze +1

Configuration polynomials generalize the Kirchhoff polynomial of a graph, as well as the Symanzik polynomials that appear in the denominators of Feynman integrands. The configurati…

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.AG2024

Bernstein--Sato polynomials of locally quasi-homogeneous divisors in $C^{3}$

Daniel Bath

We consider the Bernstein--Sato polynomial of a locally quasi-homogeneous polynomial $f \in R = C [x_{1}, x_{2}, x_{3}]$ . We construct, in the analytic category, a complex…

math.AG2024

A noncommutative analogue of the Peskine--Szpiro Acyclicity Lemma

Daniel Bath

We present a variant of the Peskine--Szpiro Acyclicity Lemma, and hence a way to certify exactness of a complex of finite modules over a large class of (possibly) noncommutative ri…

Tropical resolutions of configuration hypersurfaces

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

Bernstein--Sato polynomials of locally quasi-homogeneous divisors in C3

A noncommutative analogue of the Peskine--Szpiro Acyclicity Lemma

Bernstein--Sato polynomials of locally quasi-homogeneous divisors in $C^{3}$