ACM rank 1 bundles on del Pezzo surfaces are classified in terms of the rational normal curves that they contain. A complete list of ACM line bundles is provided. Moreover, for any del Pezzo surface X of degree less or equal than six and for any n ≥ 2 we construct a family of dimension ≥ n − 1 of non-isomorphic simple ACM bundles of rank n on X.
ACM bundles on del Pezzo surfaces / Pons-Llopis, Joan; Tonini, Fabio. - In: LE MATEMATICHE. - ISSN 0373-3505. - ELETTRONICO. - 64:(2009), pp. 177-211.
ACM bundles on del Pezzo surfaces
Tonini, Fabio
2009
Abstract
ACM rank 1 bundles on del Pezzo surfaces are classified in terms of the rational normal curves that they contain. A complete list of ACM line bundles is provided. Moreover, for any del Pezzo surface X of degree less or equal than six and for any n ≥ 2 we construct a family of dimension ≥ n − 1 of non-isomorphic simple ACM bundles of rank n on X.
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