An extension of Fujita's non extendability theorem for Grassmannians

Details An extension of Fujita's non extendability theorem for Grassmannians An extension of Fujita's non extendability theorem for Grassmannians

2009-06-25

arxiv.org/abs/0906.4695v1

Mathematics

Algebraic Geometry

Scientific paper

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

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