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Very ampleness and higher syzygies for Calabi-Yau threefolds

dc.contributor.authorGallego Rodrigo, Francisco Javier
dc.contributor.authorPurnaprajna, Bangere P.
dc.date.accessioned2023-06-20T16:47:58Z
dc.date.available2023-06-20T16:47:58Z
dc.date.issued1998-09
dc.description.abstractThe authors prove various results concerning multiples of ample, base-point-free linear systems on Calabi-Yau threefolds. Suppose that B is an ample divisor on a Calabi-Yau threefold X, and that |B| has no base-points. Then the authors prove that 3B is very ample and embeds X as a projectively normal variety if and only if |B| does not map X 2:1 onto P3. Similarly, they prove that |2B| enjoys the same properties if and only if |B| does not map X onto a variety of minimal degree other than P3, nor maps X 2:1 onto P3. Further results are proved, giving conditions for when the linear system nB satisfies the condition Np.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/12604
dc.identifier.doi10.1007/s002080050215
dc.identifier.issn0025-5831
dc.identifier.officialurlhttp://www.springerlink.com/content/100442/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57051
dc.journal.titleMathematische Annalen
dc.language.isoeng
dc.page.final149
dc.page.initial133
dc.publisherSpringer
dc.relation.projectIDPB93-0440-C03-01
dc.rights.accessRightsopen access
dc.subject.cdu512.7
dc.subject.keywordProjective varieties
dc.subject.keywordKoszul cohomology
dc.subject.keywordK-3 surfaces
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleVery ampleness and higher syzygies for Calabi-Yau threefolds
dc.typejournal article
dc.volume.number312
dspace.entity.typePublication
relation.isAuthorOfPublication708fdd58-694b-4a58-8267-1013d3272036
relation.isAuthorOfPublication.latestForDiscovery708fdd58-694b-4a58-8267-1013d3272036

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