English

Characterizing the projective space after Cho, Miyaoka and Shepherd-Barron

Algebraic Geometry 2007-05-23 v1

Abstract

In this paper we give a short and elementary proof of a characterization of the projective space in terms of rational curves which was conjectured by Mori and Mukai. A proof was first given in a preprint by K. Cho, Y. Miyaoka and N. Shepherd-Barron. While our proof here is shorter and involves substantial technical simplifications, the essential ideas are taken from that preprint.

Cite

@article{arxiv.math/0107069,
  title  = {Characterizing the projective space after Cho, Miyaoka and Shepherd-Barron},
  author = {Stefan Kebekus},
  journal= {arXiv preprint arXiv:math/0107069},
  year   = {2007}
}

Comments

Author-supplied PDF file with graphics is available at http://btm8x5.mat.uni-bayreuth.de/~kebekus

R2 v1 2026-07-22T16:39:32.952Z