Special rays in the Mori cone of a projective variety

Details Special rays in the Mori cone of a projective variety Special rays in the Mori cone of a projective variety

2000-10-11

arxiv.org/abs/math/0010101v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

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 $\ch(k) = 0$ we also characterize non nef rays of length $n-2$.

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