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

2001/07/10 by Stefan Kebekus, Kebekus, Stefan
Engineering · Mathematics · Neuroscience · Psychology · #14M99 #Algebraic Geometry (math.AG) #FOS: Mathematics #Psychological Testing and Assessment #Spatial Cognition and Navigation #Spatial Neglect and Hemispheric Dysfunction #math.AG #msc:14M99

paper · pdf · doi:10.48550/arxiv.math/0107069

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

arxiv created 2001/07/10 · openalex publication_date 2001/07/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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