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Arrondo Esteban, Enrique Graña Otero, Beatriz 2023-06-20T16:49:56Z 2023-06-20T16:49:56Z 1999 0021-8693 10.1006/jabr.1998.7700 https://hdl.handle.net/20.500.14352/57170 http://www.sciencedirect.com/science/article/pii/S0021869398977006 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. eng open access Vector bundles on G(1,4) without intermediate cohomology journal article