Algebra and Geometry of Irreducible toric vector bundles of rank $n$ on $\mathbb{P}^n$

Courtney George; Christopher Manon

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arXiv · 2308.09017

Algebra and Geometry of Irreducible toric vector bundles of rank $n$ on $\mathbb{P}^n$

Courtney George·Christopher Manon

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Abstract

We construct a presentation for the Cox ring of the projectivization $\mathbb{P}\mathcal{E}$ of any rank $n$ irreducible toric vector bundle on $\mathbb{P}^n$. We use this presentation to show that $\mathbb{P}\mathcal{E}$ always satisfies Fujita's freeness and ampleness conjectures.

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BibTeX RIS

Courtney George, Christopher Manon. 2023-08-17. Algebra and Geometry of Irreducible toric vector bundles of rank $n$ on $\mathbb{P}^n$. https://arxiv.org/abs/2308.09017

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