The splitting criterion of Kempf and the Babylonian tower theorem
| dc.creator | Coanda, Iustin | |
| dc.creator | Trautmann, Guenther | |
| dc.date | 2004-11-29 | |
| dc.date.accessioned | 2026-07-07T05:14:47Z | |
| dc.date.available | 2026-07-07T05:14:47Z | |
| dc.description | 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. | |
| dc.description | LateX2e, 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411636 | |
| dc.identifier | http://arxiv.org/abs/math/0411636 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73416 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05; 14J60 | |
| dc.title | The splitting criterion of Kempf and the Babylonian tower theorem | |
| dc.type | text |