From the 1 of 4 linked papers with an AI index.
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Tautological systems and local cohomology
Paul Görlach, Thomas Reichelt, Christian Sevenheck +1
The paper investigates how tautological systems relate to the local cohomology of cones over homogeneous spaces, introduces a derived version linked to the Chevalley–Eilenberg comp…
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 MustaÅ£Ä, 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…