Monads and moduli of vector bundles |
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Authors: | Wolf Barth Klaus Hulek |
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Affiliation: | (1) Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, D-8520 Erlangen, West-Germany |
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Abstract: | Horrocks has shown that every vector bundle on 2 and 3 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. |
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