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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2205.10143 |
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| _version_ | 1866918044769452032 |
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| author | Lopez, Angelo Felice Muñoz, Roberto Sierra, José Carlos |
| author_facet | Lopez, Angelo Felice Muñoz, Roberto Sierra, José Carlos |
| contents | We give an almost complete classification of non-big Ulrich vector bundles on fourfolds. This allows to classify them in the case of Picard rank one fourfolds, of Mukai fourfolds and in the case of Del Pezzo $n$-folds for $n \le 4$. We also classify Ulrich bundles with non-big determinant on Del Pezzo and Mukai $n$-folds, $n \ge 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_10143 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the classification of non-big Ulrich vector bundles on fourfolds Lopez, Angelo Felice Muñoz, Roberto Sierra, José Carlos Algebraic Geometry We give an almost complete classification of non-big Ulrich vector bundles on fourfolds. This allows to classify them in the case of Picard rank one fourfolds, of Mukai fourfolds and in the case of Del Pezzo $n$-folds for $n \le 4$. We also classify Ulrich bundles with non-big determinant on Del Pezzo and Mukai $n$-folds, $n \ge 2$. |
| title | On the classification of non-big Ulrich vector bundles on fourfolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2205.10143 |