Lines on smooth polarized K3-surfaces

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buir.contributor.authorDegtyarev, Alex
dc.citation.epage648en_US
dc.citation.issueNumber3en_US
dc.citation.spage601en_US
dc.citation.volumeNumber62en_US
dc.contributor.authorDegtyarev, Alexen_US
dc.date.accessioned2020-02-03T12:21:55Z
dc.date.available2020-02-03T12:21:55Z
dc.date.issued2019
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractFor each integer D⩾3D⩾3, we give a sharp bound on the number of lines contained in a smooth complex 2D-polarized K3-surface in PD+1PD+1. In the two most interesting cases of sextics in P4P4 and octics in P5P5, the bounds are 42 and 36, respectively, as conjectured in an earlier paper.en_US
dc.description.provenanceSubmitted by Zeynep Aykut (zeynepay@bilkent.edu.tr) on 2020-02-03T12:21:55Z No. of bitstreams: 1 Lines_on_smooth_polarized_K3-Surfaces.pdf: 937162 bytes, checksum: e26e94738335bc6703708bea5cb1cc62 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-02-03T12:21:55Z (GMT). No. of bitstreams: 1 Lines_on_smooth_polarized_K3-Surfaces.pdf: 937162 bytes, checksum: e26e94738335bc6703708bea5cb1cc62 (MD5) Previous issue date: 2019en
dc.identifier.doi10.1007/s00454-018-0038-5en_US
dc.identifier.issn0179-5376
dc.identifier.urihttp://hdl.handle.net/11693/52998
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttps://dx.doi.org/10.1007/s00454-018-0038-5en_US
dc.source.titleDiscrete and Computational Geometryen_US
dc.subjectDiscriminant formen_US
dc.subjectElliptic pencilen_US
dc.subjectIntegral latticeen_US
dc.subjectK3-surfaceen_US
dc.subjectOctic surfaceen_US
dc.subjectSextic surfaceen_US
dc.subjectTriquadricen_US
dc.titleLines on smooth polarized K3-surfacesen_US
dc.typeArticleen_US

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