A degree bound for globally generated vector bundles

Details A degree bound for globally generated vector bundles A degree bound for globally generated vector bundles

2008-05-27

arxiv.org/abs/0805.4181v1

Mathematics

Algebraic Geometry

9 pages, to appear in Mathematische Zeitschrift

Scientific paper

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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