On contractions of extremal rays of Fano manifolds.

  title={On contractions of extremal rays of Fano manifolds.},
  author={J. Wiśniewski},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  pages={141 - 158}
  • J. Wiśniewski
  • Published 1991
  • Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • A smooth variety X over complex numbers is called Fano if its anticanonical divisor — Kx is ample. The purpose of this note is to collect some results on contractions of extremal rays (Mori theory) which are interesting from the point of describing Fano manifolds of dimension ^ 4. The theory has been successfully used in dimension 3, see [MM], and there is some hope that a similar approach may work somehow in higher dimensions. Furthermore, contractions of extremal rays of Fano manifolds can be… CONTINUE READING
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