Monads and moduli of vector bundles
- Cite this article as:
- Barth, W. & Hulek, K. Manuscripta Math (1978) 25: 323. doi:10.1007/BF01168047
Horrocks has shown that every vector bundle on ℙ2 and ℙ3 admits a certain “double-ended resolution” by line bundles, which he called a monad. We reprove Horrocks' results taking much care of uniqueness of the monads so obtained. This technique should be useful for constructing moduli spaces of stable vector bundles.