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ACM bundles on cubic surfaces
dc.contributor.author | Casanellas Rius, Marta |
dc.contributor.author | Hartshorne, Robin |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2011-04-06T11:24:02Z |
dc.date.available | 2011-04-06T11:24:02Z |
dc.date.created | 2011 |
dc.date.issued | 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.issn | 1435-9855 |
dc.identifier.uri | http://hdl.handle.net/2117/12280 |
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. |
dc.format.extent | 23 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Surfaces, Cubic |
dc.title | ACM bundles on cubic surfaces |
dc.type | Article |
dc.subject.lemac | Geometria algebraica |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.doi | 10.4171/JEMS/265 |
dc.relation.publisherversion | http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=13&iss=3&rank=6 |
dc.rights.access | Open Access |
local.identifier.drac | 5432212 |
dc.description.version | Postprint (published version) |
local.citation.author | Casanellas, M.; Hartshorne, R. |
local.citation.publicationName | Journal of the European Mathematical Society |
local.citation.volume | 13 |
local.citation.number | 3 |
local.citation.startingPage | 709 |
local.citation.endingPage | 731 |
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