Non-defectivity of Segre-Veronese varieties
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916624674586624 |
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| author | Abo, Hirotachi Brambilla, Maria Chiara Galuppi, Francesco Oneto, Alessandro |
| author_facet | Abo, Hirotachi Brambilla, Maria Chiara Galuppi, Francesco Oneto, Alessandro |
| contents | We prove that Segre-Veronese varieties are never secant defective if each degree is at least three. The proof is by induction on the number of factors, degree and dimension. As a corollary, we give an almost optimal non-defectivity result for Segre-Veronese varieties with one degree equal to one and all the others at least three. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_20057 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-defectivity of Segre-Veronese varieties Abo, Hirotachi Brambilla, Maria Chiara Galuppi, Francesco Oneto, Alessandro Algebraic Geometry 14N05, 14N07 We prove that Segre-Veronese varieties are never secant defective if each degree is at least three. The proof is by induction on the number of factors, degree and dimension. As a corollary, we give an almost optimal non-defectivity result for Segre-Veronese varieties with one degree equal to one and all the others at least three. |
| title | Non-defectivity of Segre-Veronese varieties |
| topic | Algebraic Geometry 14N05, 14N07 |
| url | https://arxiv.org/abs/2406.20057 |