Biswas, Indranil ; dos Santos, Joao Pedro P.
(2009)
*On the vector bundles over rationally connected varieties*
Comptes Rendus Mathematique, 347
(19-20).
pp. 1173-1176.
ISSN 1631-073X

Full text not available from this repository.

Official URL: http://linkinghub.elsevier.com/retrieve/pii/S16310...

Related URL: http://dx.doi.org/10.1016/j.crma.2009.09.006

## Abstract

Let X be a rationally connected smooth projective variety defined over C and E →X a vector bundle such that for every morphism γ :CP^{1} → X , the pullback γ E is trivial. We prove that E is trivial. Using this we show that if γ^{∗
} E is isomorphic to L(γ) ^{⊕r} for all γ of the above type, where L(γ) → CP^{1} is some line bundle, then there is a line bundle ζ over X such that E=ζ^{⊕r}.

Item Type: | Article |
---|---|

Source: | Copyright of this article belongs to Elsevier Science. |

ID Code: | 3546 |

Deposited On: | 12 Oct 2010 04:17 |

Last Modified: | 27 Jan 2011 06:31 |

Repository Staff Only: item control page