Some Taylor varieties with null Hessian
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909014670966784 |
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| author | Ribeiro, Thais Gomes Guardo, Elena Dizdarević, Manuela Muzika Nowroozi, Maryam Santarsiero, Pierpaola Supino, Paola |
| author_facet | Ribeiro, Thais Gomes Guardo, Elena Dizdarević, Manuela Muzika Nowroozi, Maryam Santarsiero, Pierpaola Supino, Paola |
| contents | Taylor varieties $\mathcal{T}^n_{d,e,m}$ arise from Taylor expansion of rational functions in $n$ variables. Among them, we look for non-defective hypersurfaces. We prove that the cases $n=2$ and $m=d+2$ give new examples of hypersurfaces with identically null Hessian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03923 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some Taylor varieties with null Hessian Ribeiro, Thais Gomes Guardo, Elena Dizdarević, Manuela Muzika Nowroozi, Maryam Santarsiero, Pierpaola Supino, Paola Algebraic Geometry 14J70, 14N05, 15A15 Taylor varieties $\mathcal{T}^n_{d,e,m}$ arise from Taylor expansion of rational functions in $n$ variables. Among them, we look for non-defective hypersurfaces. We prove that the cases $n=2$ and $m=d+2$ give new examples of hypersurfaces with identically null Hessian. |
| title | Some Taylor varieties with null Hessian |
| topic | Algebraic Geometry 14J70, 14N05, 15A15 |
| url | https://arxiv.org/abs/2605.03923 |