Smooth models of singular K3-surfaces

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buir.contributor.authorDegtyarev, Alexander
dc.citation.epage172en_US
dc.citation.issueNumber1en_US
dc.citation.spage125en_US
dc.citation.volumeNumber35en_US
dc.contributor.authorDegtyarev, Alexanderen_US
dc.date.accessioned2020-02-18T11:40:30Z
dc.date.available2020-02-18T11:40:30Z
dc.date.issued2019
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe show that the classical Fermat quartic has exactly three smooth spatial models. As a generalization, we give a classification of smooth spatial (as well as some other) models of singular K3-surfaces of small discriminant. As a by-product, we observe a correlation (up to a certain limit) between the discriminant of a singular K3-surface and the number of lines in its models. We also construct a K3-quartic surface with 52 lines and singular points, as well as a few other examples with many lines or models.
dc.description.provenanceSubmitted by Zeynep Aykut (zeynepay@bilkent.edu.tr) on 2020-02-18T11:40:30Z No. of bitstreams: 1 Smooth_models_of_singular_K3-surfaces.pdf: 559758 bytes, checksum: 4dce2dc809928d5287e12e4b86fe2932 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-02-18T11:40:30Z (GMT). No. of bitstreams: 1 Smooth_models_of_singular_K3-surfaces.pdf: 559758 bytes, checksum: 4dce2dc809928d5287e12e4b86fe2932 (MD5) Previous issue date: 2019en
dc.identifier.doi10.4171/rmi/1051en_US
dc.identifier.issn0213-2230
dc.identifier.urihttp://hdl.handle.net/11693/53404
dc.language.isoEnglishen_US
dc.publisherEuropean Mathematical Society Publishing Houseen_US
dc.relation.isversionofhttps://dx.doi.org/10.4171/rmi/1051en_US
dc.source.titleRevista Matematica Iberoamericanaen_US
dc.subjectFermat quarticen_US
dc.subjectK3-surfaceen_US
dc.subjectMukai groupen_US
dc.subjectNiemeier latticeen_US
dc.subjectOctic modelen_US
dc.subjectSextic curveen_US
dc.subjectSextic modelen_US
dc.subjectSmooth quartic surfaceen_US
dc.titleSmooth models of singular K3-surfacesen_US
dc.typeArticleen_US

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