On varieties with Ulrich twisted conormal bundles
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866910478343602176 |
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| author | Antonelli, Vincenzo Casnati, Gianfranco Lopez, Angelo Felice Raychaudhury, Debaditya |
| author_facet | Antonelli, Vincenzo Casnati, Gianfranco Lopez, Angelo Felice Raychaudhury, Debaditya |
| contents | We study varieties $X \subset P^r$ such that is $N_X^*(k)$ is an Ulrich vector bundle for some integer $k$. We first prove that such an $X$ must be a curve. Then we give several examples of curves with $N_X^*(k)$ an Ulrich vector bundle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00113 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On varieties with Ulrich twisted conormal bundles Antonelli, Vincenzo Casnati, Gianfranco Lopez, Angelo Felice Raychaudhury, Debaditya Algebraic Geometry We study varieties $X \subset P^r$ such that is $N_X^*(k)$ is an Ulrich vector bundle for some integer $k$. We first prove that such an $X$ must be a curve. Then we give several examples of curves with $N_X^*(k)$ an Ulrich vector bundle. |
| title | On varieties with Ulrich twisted conormal bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2306.00113 |