The splitting criterion of Kempf and the Babylonian tower theorem
Algebraic Geometry
2007-05-23 v1
Abstract
We show that the idea used by Kempf (1990) in order to obtain a splitting criterion for vector bundles on projective spaces leads to an elementary proof of the Babylonian tower theorem for this class of bundles, a result due to Barth--Van de Ven (1974) in the rank 2 case and to Sato (1977) and Tyurin (1976) in the case of arbitrary rank. As a byproduct we obtain a slight improvement of the numerical criterion of Flenner (1985) in the particular case under consideration.
Keywords
Cite
@article{arxiv.math/0411636,
title = {The splitting criterion of Kempf and the Babylonian tower theorem},
author = {Iustin Coanda and Guenther Trautmann},
journal= {arXiv preprint arXiv:math/0411636},
year = {2007}
}
Comments
LateX2e, 4 pages