A degree bound for globally generated vector bundles
classification
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keywords
degreeboundgeneratedgloballyobtainvectoralgebraicallyapplication
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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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