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Arrondo Esteban, Enrique and Graña Otero, Beatriz
(1999)
*Vector bundles on G(1,4) without intermediate cohomology.*
Journal of Algebra, 214
(1).
pp. 128-142.
ISSN 0021-8693

PDF
Restringido a Repository staff only 103kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0021869398977006

## Abstract

It is a famous result due to G. Horrocks [Proc. Lond. Math. Soc. (3) 14, 689-713 (1964;

Zbl 0126.16801)] that line bundles on a projective space are the only indecomposable

vector bundles without intermediate cohomology. This fact generalizes to quadric and

grassmannians if we add cohomological conditions.

In this paper the case of G(1, 4) is studied completely, and a characterization-classification

of vector bundles on it without intermediate cohomology is obtained.

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

Uncontrolled Keywords: | Cohen_Macaulay modules; hypersurface singularities |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 14838 |

Deposited On: | 18 Apr 2012 10:02 |

Last Modified: | 03 Oct 2018 12:08 |

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