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arXiv · 0805.4181

A degree bound for globally generated vector bundles

José Carlos Sierra
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Abstract

We obtain a sharp bound on the degree of a globally generated vector bundle over a reduced irreducible projective variety defined over an algebraically closed field of characteristic zero. As an application, we obtain a Del Pezzo-Bertini type theorem on varieties of minimal degree for subvarieties of Grassmannians.

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José Carlos Sierra. 2008-05-27. A degree bound for globally generated vector bundles. https://arxiv.org/abs/0805.4181

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