Castelnuovo-Mumford Regularity over Scrolls and Splitting Criteria
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915098824540160 |
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| author | Malaspina, F. Sankaran, G. |
| author_facet | Malaspina, F. Sankaran, G. |
| contents | We introduce and study a notion of Castelnuovo-Mumford regularity suitable for scrolls obtained as projectivisations of sums of line bundles on $\mathbb P^m$. We show that this is a natural generalisation of the well known regularity on projective and multiprojective spaces and we prove Horrocks-type splitting criteria for vector bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06361 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Castelnuovo-Mumford Regularity over Scrolls and Splitting Criteria Malaspina, F. Sankaran, G. Algebraic Geometry Commutative Algebra We introduce and study a notion of Castelnuovo-Mumford regularity suitable for scrolls obtained as projectivisations of sums of line bundles on $\mathbb P^m$. We show that this is a natural generalisation of the well known regularity on projective and multiprojective spaces and we prove Horrocks-type splitting criteria for vector bundles. |
| title | Castelnuovo-Mumford Regularity over Scrolls and Splitting Criteria |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2501.06361 |