Horrocks bundle: Difference between revisions
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==References== |
==References== |
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*{{Citation | last1=Ancona | first1=Vincenzo | last2=Ottaviani | first2=Giorgio | title=The Horrocks bundles of rank three on P<sup>5</sup> | doi=10.1515/crll.1995.460.69 |mr=1316572 | year=1995 | journal=[[Journal für die reine und angewandte Mathematik]] | issn=0075-4102 | volume=460 | pages=69–92}} |
*{{Citation | last1=Ancona | first1=Vincenzo | last2=Ottaviani | first2=Giorgio | title=The Horrocks bundles of rank three on P<sup>5</sup> | doi=10.1515/crll.1995.460.69 |mr=1316572 | year=1995 | journal=[[Journal für die reine und angewandte Mathematik]] | issn=0075-4102 | volume=460 | pages=69–92}} |
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*{{Citation | last1=Horrocks | first1=G. | author1-link=Geoffrey Horrocks | title=Examples of rank three vector bundles on five-dimensional projective space | doi=10.1112/jlms/s2-18.1.15 |mr=502651 | year=1978 | journal=Journal of the London Mathematical Society | issn=0024-6107 | volume=18 | issue=1 | pages=15–27}} |
*{{Citation | last1=Horrocks | first1=G. | author1-link=Geoffrey Horrocks (mathematician) | title=Examples of rank three vector bundles on five-dimensional projective space | doi=10.1112/jlms/s2-18.1.15 |mr=502651 | year=1978 | journal=Journal of the London Mathematical Society | issn=0024-6107 | volume=18 | issue=1 | pages=15–27}} |
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[[Category:Algebraic geometry]] |
[[Category:Algebraic geometry]] |
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Revision as of 02:42, 1 October 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