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Curves and vector bundles on quartic threefolds

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dc.contributor.authorArrondo Esteban, Enrique
dc.contributor.authorMaddona, Carlo G.
dc.date.accessioned2023-06-20T00:09:04Z
dc.date.available2023-06-20T00:09:04Z
dc.date.issued2009
dc.description.abstractIn this paper we study arithmetically Cohen-Macaulay (ACM for short) vector bundles E of rank k 3 on hypersurfaces Xr P4 of degree r 1. We consider here mainly the case of degree r = 4, which is the first unknown case in literature. Under some natural conditions for the bundle E we derive a list of possible Chern classes (c1, c2, c3) which may arise in the cases of rank k = 3 and k = 4, when r = 4 and we give several examples.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedFALSE
dc.description.sponsorshipMinisterio de Ciencia y Tecnología (España)
dc.description.sponsorshipMinisterio de Educación (España)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14767
dc.identifier.doi10.4134/JKMS.2009.46.3.589
dc.identifier.issn0304-9914
dc.identifier.officialurlhttps://koreascience.kr/article/JAKO200913234255706.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42090
dc.issue.number3
dc.journal.titleJournal of the Korean Mathematical Society
dc.language.isoeng
dc.page.final608
dc.page.initial589
dc.publisherKorean Mathematical Society
dc.relation.projectIDBFM2003-03971/MATE
dc.relation.projectIDI3P-CSIC
dc.relation.projectIDMTM2007-67623
dc.rights.accessRightsopen access
dc.subject.cdu512.7
dc.subject.keywordIntermediate cohomology
dc.subject.keywordCriterion
dc.subject.keywordQuartic threefold
dc.subject.keywordACM bundle
dc.subject.keywordProjectively normal curve
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleCurves and vector bundles on quartic threefolds
dc.typejournal article
dc.volume.number46
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