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arXiv · 2501.16198

F-singularities of polynomials with square-free support

Aldo Conca·Alessandro De Stefani·Luis Núñez-Betancourt·Ilya Smirnov
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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 $p>0$. 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.

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Aldo Conca, Alessandro De Stefani, Luis Núñez-Betancourt, Ilya Smirnov. 2025-01-27. F-singularities of polynomials with square-free support. https://arxiv.org/abs/2501.16198

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