1 citations · 2 across the 7 of their papers we have counts for
9 papers
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…
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 whose associated reduced projective divisor has (at worst)…
Bernstein--Sato polynomials of locally quasi-homogeneous divisors in
Daniel Bath
We consider the Bernstein--Sato polynomial of a locally quasi-homogeneous polynomial . We construct, in the analytic category, a complex…
Twisted logarithmic complexes of positively weighted homogeneous divisors
Daniel Bath, Morihiko Saito
For a rank 1 local system on the complement of a reduced divisor on a complex manifold , its cohomology is calculated by the twisted meromorphic de Rham complex. Assuming the di…
Hyperplane Arrangements Satisfy (un)Twisted Logarithmic Comparison Theorems, Applications to -modules
Daniel Bath
For a reduced hyperplane arrangement we prove the analytic Twisted Logarithmic Comparison Theorem, subject to mild combinatorial arithmetic conditions on the weights defining the t…
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…
A Note on Bernstein-Sato Varieties for Tame Divisors and Arrangements
Daniel Bath
For strongly Euler-homogeneous, Saito-holonomic, and tame analytic germs we consider general types of multivariate Bernstein-Sato ideals associated to arbitrary factorizations of o…
Combinatorially Determined Zeroes of Bernstein--Sato Ideals for Tame and Free Arrangements
Daniel Bath
For a central, not necessarily reduced, hyperplane arrangement equipped with any factorization and for dividing , we consider a more ge…
Bernstein-Sato Varieties and Annihilation of Powers
Daniel Bath
Given a complex germ near the point of the complex manifold , equipped with a factorization , we consider the $\mathscr{D}_{X,\mathfra…