An extension of Fujita's non extendability theorem for Grassmannians
classification
🧮 math.AG
keywords
bundleampleappearscannotcomplexcontainingextendabilityextension
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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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