F-singularities of polynomials with square-free support
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913667042246656 |
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| author | Conca, Aldo De Stefani, Alessandro Núñez-Betancourt, Luis Smirnov, Ilya |
| author_facet | Conca, Aldo De Stefani, Alessandro Núñez-Betancourt, Luis Smirnov, Ilya |
| contents | 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, Mustaţă, and Walther. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16198 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | F-singularities of polynomials with square-free support Conca, Aldo De Stefani, Alessandro Núñez-Betancourt, Luis Smirnov, Ilya Commutative Algebra Algebraic Geometry 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, Mustaţă, and Walther. |
| title | F-singularities of polynomials with square-free support |
| topic | Commutative Algebra Algebraic Geometry |
| url | https://arxiv.org/abs/2501.16198 |