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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.18250 |
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| _version_ | 1866910898789023744 |
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| author | Deaconu, Stefan |
| author_facet | Deaconu, Stefan |
| contents | The question of existence of Ulrich bundles on nonsingular projective varieties is posed here in weaker terms: either to find a K-theoretic solution, or to find one in the derived category of the variety. We observe that if any motivic vector bundle is algebraic, there is always a solution in the Grothendieck group. Also, by considering the derived problem, it is noted a formal way of producing Ulrich sheaves on a surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18250 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some evidence for the existence of Ulrich bundles Deaconu, Stefan Algebraic Geometry The question of existence of Ulrich bundles on nonsingular projective varieties is posed here in weaker terms: either to find a K-theoretic solution, or to find one in the derived category of the variety. We observe that if any motivic vector bundle is algebraic, there is always a solution in the Grothendieck group. Also, by considering the derived problem, it is noted a formal way of producing Ulrich sheaves on a surface. |
| title | Some evidence for the existence of Ulrich bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2502.18250 |