Algebra and geometry of irreducible toric vector bundles of rank n on Pn

Courtney George; Christopher Manon

doi:10.1016/j.jalgebra.2024.05.046

Algebra and geometry of irreducible toric vector bundles of rank n on Pⁿ

Courtney George, Christopher Manon

Mathematics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1016/j.jalgebra.2024.05.046
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

Access to Document

10.1016/j.jalgebra.2024.05.046

Cite this

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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.",

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AU - Manon, Christopher

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