4 papers · 1 filter
Tautological systems and local cohomology
Paul Görlach, Thomas Reichelt, Christian Sevenheck +1
We discuss the connections between tautological systems and the local cohomology of cones over homogeneous spaces. We study a derived version of tautological systems, related to th…
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…
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…
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…