The splitting criterion of Kempf and the Babylonian tower theorem

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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.
LateX2e, 4 pages

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Algebraic Geometry, 14F05; 14J60

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http://salesiana.dossiersoluciones.com/handle/123456789/73416

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411636
 http://arxiv.org/abs/math/0411636

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arXiv