Horrocks bundle

Short description: Algebraic geometry term

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 
• 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