Singularities of square-free polynomials
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916730799915008 |
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| author | Bath, Daniel Mustaţă, Mircea Walther, Uli |
| author_facet | Bath, Daniel Mustaţă, Mircea Walther, Uli |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11309 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singularities of square-free polynomials Bath, Daniel Mustaţă, Mircea Walther, Uli Algebraic Geometry Commutative Algebra 14B05, 14J17, 32S25 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]. |
| title | Singularities of square-free polynomials |
| topic | Algebraic Geometry Commutative Algebra 14B05, 14J17, 32S25 |
| url | https://arxiv.org/abs/2412.11309 |