ACM bundles on cubic surfaces

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/12280

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Casanellas Rius, Marta
dc.contributor.author	Hartshorne, Robin
dc.date	2011
dc.identifier.citation	Casanellas, M.; Hartshorne, R. ACM bundles on cubic surfaces. "Journal of the European Mathematical Society", 2011, vol. 13, núm. 3, p. 709-731.
dc.identifier.citation	1435-9855
dc.identifier.citation	10.4171/JEMS/265
dc.identifier.uri	http://hdl.handle.net/2117/12280
dc.language.iso	eng
dc.relation	http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=13&iss=3&rank=6
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Surfaces, Cubic
dc.subject	Geometria algebraica
dc.title	ACM bundles on cubic surfaces
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We prove that, for every r 2, the moduli space Ms X.rI c1; c2/ of rank r stable vector bundles with Chern classes c1 D rH and c2 D 1 2 .3r2 �� r/ on a nonsingular cubic surface X P3 contains a nonempty smooth open subset formed by ACM bundles, i.e. vector bundles with no intermediate cohomology. The bundles we consider for this study are extremal for the number of generators of the corresponding module (these are known as Ulrich bundles), so we also prove the existence of indecomposable Ulrich bundles of arbitrarily high rank on X.

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