An extension of Fujita's non extendability theorem for Grassmannians

preprint2009arXivOpen access

Abstract

In this paper we study smooth complex projective varieties XX containing a Grassmannian of lines G(1,r)G(1,r) which appears as the zero locus of a section of a rank two nef vector bundle EE. Among other things we prove that the bundle EE cannot be ample.

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