A degree bound for globally generated vector bundles

2008/05/27 by José Carlos Sierra, Sierra, José Carlos
Mathematics · Medicine · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Phytoestrogen effects and research #Tensor decomposition and applications #math.AG

paper · pdf · doi:10.48550/arxiv.0805.4181

9 pages, to appear in Mathematische Zeitschrift

arxiv created 2008/05/27 · openalex publication_date 2008/05/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On manifolds of small degree

Related

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• Global generation and very ampleness for adjoint linear series
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