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
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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 |
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| Deposited On: | 18 Apr 2012 12:02 |
| Last Modified: | 18 Apr 2012 12:02 |
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