Ulrich ranks of Veronese varieties and equivariant instantons
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917086988599296 |
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| author | Faenzi, Daniele Pretti, Victor Do Valle |
| author_facet | Faenzi, Daniele Pretti, Victor Do Valle |
| contents | We construct Ulrich bundles on Veronese threefolds of arbitrary degree as generic deformations of symmetric squares of equivariant instanton bundles on the projective space, thus classifying the rank of Ulrich bundles on such varieties and proving a conjecture of Costa and Mir{ó}-Roig. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12574 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ulrich ranks of Veronese varieties and equivariant instantons Faenzi, Daniele Pretti, Victor Do Valle Commutative Algebra Algebraic Geometry We construct Ulrich bundles on Veronese threefolds of arbitrary degree as generic deformations of symmetric squares of equivariant instanton bundles on the projective space, thus classifying the rank of Ulrich bundles on such varieties and proving a conjecture of Costa and Mir{ó}-Roig. |
| title | Ulrich ranks of Veronese varieties and equivariant instantons |
| topic | Commutative Algebra Algebraic Geometry |
| url | https://arxiv.org/abs/2405.12574 |