1 citations · 1 across the 4 of their papers we have counts for
4 papers
On singularities of determinantal hypersurfaces
Daniel Bath, Mircea Mustaţă
Given a closed subscheme in a smooth variety , defined by the maximal minors of an matrix of regular functions, with , we consider the corresponding inc…
Singularities of square-free polynomials
Daniel Bath, Mircea Mustaţă, Uli Walther
We prove that hypersurfaces defined by irreducible square-free polynomials have rational singularities. As an easy consequence, we deduce that certain (possibly non-square-free) po…
The Hodge filtration and parametrically prime divisors
Daniel Bath, Henry Dakin
We study the canonical Hodge filtration on the sheaf of meromorphic functions along a divisor. For a germ of an analytic function whose Bernstein-Sato's pol…
Matroidal polynomials, their singularities, and applications to Feynman diagrams
Daniel Bath, Uli Walther
Given a matroid or flag of matroids we introduce several broad classes of polynomials satisfying Deletion-Contraction identities, and study their singularities. There are three mai…