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

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

2001-07-10

arxiv.org/abs/math/0107069v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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