Abstract
We construct a presentation for the Cox ring of the projectivization PE of any rank n irreducible toric vector bundle on Pn. We use this presentation to show that PE always satisfies Fujita's freeness and ampleness conjectures.
| Original language | English |
|---|---|
| Pages (from-to) | 789-810 |
| Number of pages | 22 |
| Journal | Journal of Algebra |
| Volume | 659 |
| DOIs | |
| State | Published - Dec 1 2024 |
Bibliographical note
Publisher Copyright:© 2024 Elsevier Inc.
Funding
The authors were supported by Simons Collaboration Grant 587209 and National Science Foundation Grant DMS-2101911.
| Funders | Funder number |
|---|---|
| National Science Foundation Arctic Social Science Program | DMS-2101911 |
| National Science Foundation Arctic Social Science Program |
Keywords
- Cox ring
- Fujita conjecture
- Toric vector bundles
ASJC Scopus subject areas
- Algebra and Number Theory
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