Special rays in the Mori cone of a projective variety

Marco Andreatta; Gianluca Occhetta

Special rays in the Mori cone of a projective variety

Algebraic Geometry 2007-05-23 v1

Authors: Marco Andreatta , Gianluca Occhetta

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

Keywords

mori cone projective variety extremal rays nef divisor maximal length

Cite

@article{arxiv.math/0010101,
  title  = {Special rays in the Mori cone of a projective variety},
  author = {Marco Andreatta and Gianluca Occhetta},
  journal= {arXiv preprint arXiv:math/0010101},
  year   = {2007}
}

Comments

9 pages

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