Nondefectivity of invariant secant varieties
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866911762837667840 |
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| author | Blomenhofer, Alexander Taveira Casarotti, Alex |
| author_facet | Blomenhofer, Alexander Taveira Casarotti, Alex |
| contents | We show that a large class of secant varieties is nondefective. In particular, we positively resolve most cases of the Baur-Draisma-de Graaf conjecture on Grassmannian secants in large dimensions. Our result improves the known bounds on nondefectivity for various other secant varieties, including Chow varieties, Segre-Veronese varieties and Gaussian moment varieties. We also give bounds for identifiability and the generic ranks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12335 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nondefectivity of invariant secant varieties Blomenhofer, Alexander Taveira Casarotti, Alex Algebraic Geometry 14N07, 15A72 (primary) We show that a large class of secant varieties is nondefective. In particular, we positively resolve most cases of the Baur-Draisma-de Graaf conjecture on Grassmannian secants in large dimensions. Our result improves the known bounds on nondefectivity for various other secant varieties, including Chow varieties, Segre-Veronese varieties and Gaussian moment varieties. We also give bounds for identifiability and the generic ranks. |
| title | Nondefectivity of invariant secant varieties |
| topic | Algebraic Geometry 14N07, 15A72 (primary) |
| url | https://arxiv.org/abs/2312.12335 |