Counting aCM Toric Bundles of Rank Two on the Veronese Surface
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909587904397312 |
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| author | Hong, Yeonjae Huh, Sukmoon |
| author_facet | Hong, Yeonjae Huh, Sukmoon |
| contents | We define the isomorphism classes of torus-equivariant rank 2 arithmetically Cohen-Macaulay (aCM) vector bundles on the Veronese surface, up to a twist by the hyperplane class, and count them. Our approach makes use of Klyachko's description of toric vector bundles via filtrations and the associated cohomology computation. We also describe several representative bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting aCM Toric Bundles of Rank Two on the Veronese Surface Hong, Yeonjae Huh, Sukmoon Algebraic Geometry 14M25, 14F05, 14J60 We define the isomorphism classes of torus-equivariant rank 2 arithmetically Cohen-Macaulay (aCM) vector bundles on the Veronese surface, up to a twist by the hyperplane class, and count them. Our approach makes use of Klyachko's description of toric vector bundles via filtrations and the associated cohomology computation. We also describe several representative bundles. |
| title | Counting aCM Toric Bundles of Rank Two on the Veronese Surface |
| topic | Algebraic Geometry 14M25, 14F05, 14J60 |
| url | https://arxiv.org/abs/2504.14613 |