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Special rays in the Mori cone of a projective variety

Marco Andreatta, Gianluca Occhetta

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Source: Crossref

Published: Jan 1, 2002

DOI: 10.1017/s0027763000008400

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Source abstract

Abstract Let X be a smooth n -dimensional projective variety over an algebraically closed field k such that K X is not nef. We give a characterization of non nef extremal rays of X of maximal length (i.e of length n – 1); in the case of Char( k ) = 0 we also characterize non nef rays of length n – 2.

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Special rays in the Mori cone of a projective variety — Mathematical Frontier Network