ACM Bundles on Del Pezzo surfaces

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 <em>X</em> of degree less or equal than six and for any<em> n ≥ 2</em> we con...

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Main Authors: Joan Pons-Llopis, Fabio Tonini
Format: Article
Language:English
Published: Università degli Studi di Catania 2009-11-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/760
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author Joan Pons-Llopis
Fabio Tonini
author_facet Joan Pons-Llopis
Fabio Tonini
author_sort Joan Pons-Llopis
collection DOAJ
description 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 <em>X</em> of degree less or equal than six and for any<em> n ≥ 2</em> we construct a family of dimension<em> ≥ n − 1</em> of non-isomorphic simple ACM bundles of rank n on <em>X</em>.<br />
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spelling doaj.art-148fce90493b4869873a53226d8e4c452022-12-21T19:08:26ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982009-11-01642177211726ACM Bundles on Del Pezzo surfacesJoan Pons-Llopis0Fabio Tonini1Universitat de BarcelonaScuola Normale SuperioreACM 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 <em>X</em> of degree less or equal than six and for any<em> n ≥ 2</em> we construct a family of dimension<em> ≥ n − 1</em> of non-isomorphic simple ACM bundles of rank n on <em>X</em>.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/760ACM bundlesDel Pezzo surfaces
spellingShingle Joan Pons-Llopis
Fabio Tonini
ACM Bundles on Del Pezzo surfaces
Le Matematiche
ACM bundles
Del Pezzo surfaces
title ACM Bundles on Del Pezzo surfaces
title_full ACM Bundles on Del Pezzo surfaces
title_fullStr ACM Bundles on Del Pezzo surfaces
title_full_unstemmed ACM Bundles on Del Pezzo surfaces
title_short ACM Bundles on Del Pezzo surfaces
title_sort acm bundles on del pezzo surfaces
topic ACM bundles
Del Pezzo surfaces
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/760
work_keys_str_mv AT joanponsllopis acmbundlesondelpezzosurfaces
AT fabiotonini acmbundlesondelpezzosurfaces