arXiv:0805.4181 Abstract | arXiv Analytics

arXiv:0805.4181 [math.AG]Abstract References Reviews Resources

A degree bound for globally generated vector bundles

Published 2008-05-27Version 1

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.

Comments: 9 pages, to appear in Mathematische Zeitschrift

Categories: math.AG

Keywords: globally generated vector bundle, degree bound, irreducible projective variety, del pezzo-bertini type theorem, sharp bound

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