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Algebra and Geometry of Irreducible toric vector bundles of rank $n$ on $\mathbb{P}^n$ (2308.09017v1)

Published 17 Aug 2023 in math.AG

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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