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arXiv · 2412.11309

Singularities of square-free polynomials

Daniel Bath·Mircea Mustaţă·Uli Walther
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Abstract

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) polynomials associated to pairs of square-free polynomials define hypersurfaces with rational singularities. This extends results on certain classes of polynomials associated to matroids and Feynman diagrams in [BW].

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Daniel Bath, Mircea Mustaţă, Uli Walther. 2024-12-15. Singularities of square-free polynomials. https://arxiv.org/abs/2412.11309

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