A Characterization of Projective Spaces
2011
Let [X] be a smooth projective variety of dimension [n] and [e] is an ample vector bundle with rank [(k≥-1)] over [X].Then [X] is a projective space and [e] is a direct sum of line bundles [OPn(1)] if and only if [Λ(e,KX)=k+1].
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