F-singularities of polynomials with square-free support
Commutative Algebra
2025-01-28 v1 Algebraic Geometry
Abstract
We show that the intersection of the irreducible components of a hypersurface defined by a polynomial with square-free support has F-rational singularities in characteristic . As a consequence, we obtain that hypersurfaces defined by irreducible polynomials with square-free support have F-rational singularities, positively answering a question of Bath, Musta\c{t}\u{a}, and Walther.
Cite
@article{arxiv.2501.16198,
title = {F-singularities of polynomials with square-free support},
author = {Aldo Conca and Alessandro De Stefani and Luis Núñez-Betancourt and Ilya Smirnov},
journal= {arXiv preprint arXiv:2501.16198},
year = {2025}
}