Horrocks bundle: Difference between revisions
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{{for|the rank 2 bundle on 4-dimensional projective space|Horrocks–Mumford bundle}} |
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In [[algebraic geometry]], '''Horrocks bundles''' are certain indecomposable rank 3 [[vector bundle]]s (locally free sheaves) on 5-dimensional projective space, found by {{harvtxt|Horrocks|1978}}. |
In [[algebraic geometry]], '''Horrocks bundles''' are certain indecomposable rank 3 [[vector bundle]]s (locally free sheaves) on 5-dimensional projective space, found by {{harvtxt|Horrocks|1978}}. |
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Revision as of 21:06, 30 June 2021
In algebraic geometry, Horrocks bundles are certain indecomposable rank 3 vector bundles (locally free sheaves) on 5-dimensional projective space, found by Horrocks (1978).
References
- Ancona, Vincenzo; Ottaviani, Giorgio (1995), "The Horrocks bundles of rank three on P5", Journal für die reine und angewandte Mathematik, 460: 69–92, doi:10.1515/crll.1995.460.69, ISSN 0075-4102, MR 1316572
- Horrocks, G. (1978), "Examples of rank three vector bundles on five-dimensional projective space", Journal of the London Mathematical Society, 18 (1): 15–27, doi:10.1112/jlms/s2-18.1.15, ISSN 0024-6107, MR 0502651