Higher order embeddings via the basepoint-freeness threshold
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929303744151552 |
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| author | Caucci, Federico |
| author_facet | Caucci, Federico |
| contents | In this note, we relate the basepoint-freeness threshold of a polarized abelian variety, introduced by Jiang and Pareschi, with $k$-jet very ampleness. Then, we derive several applications of this fact, including a criterion for the $k$-very ampleness of Kummer varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03942 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher order embeddings via the basepoint-freeness threshold Caucci, Federico Algebraic Geometry In this note, we relate the basepoint-freeness threshold of a polarized abelian variety, introduced by Jiang and Pareschi, with $k$-jet very ampleness. Then, we derive several applications of this fact, including a criterion for the $k$-very ampleness of Kummer varieties. |
| title | Higher order embeddings via the basepoint-freeness threshold |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2404.03942 |