Planes in cubic fourfolds

dc.date.accessioned	2023-02-20T08:44:06Z
dc.date.available	2023-02-20T08:44:06Z
dc.date.created	2022-11-30T23:50:46Z
dc.date.issued	2023
dc.identifier.citation	Ottem, John Christian Itenberg, Ilia Degtyarev, Alex . Planes in cubic fourfolds. Algebraic Geometry. 2023, 10(2), 228-258
dc.identifier.uri	http://hdl.handle.net/10852/100164
dc.description.abstract	We show that the maximal number of planes in a complex smooth cubic fourfold in P5 is 405, realized by the Fermat cubic only; the maximal number of real planes in a real smooth cubic fourfold is 357, realized by the so-called Clebsch–Segre cubic. Altogether, there are but three (up to projective equivalence) cubics with more than 350 planes.
dc.language	EN
dc.rights	Attribution-NonCommercial 3.0 Unported
dc.rights.uri	http://creativecommons.org/licenses/by-nc/3.0/
dc.title	Planes in cubic fourfolds
dc.title.alternative	ENEngelskEnglishPlanes in cubic fourfolds
dc.type	Journal article
dc.creator.author	Ottem, John Christian
dc.creator.author	Itenberg, Ilia
dc.creator.author	Degtyarev, Alex
cristin.unitcode	185,15,13,55
cristin.unitname	Algebra, geometri og topologi
cristin.ispublished	true
cristin.fulltext	original
cristin.fulltext	original
cristin.qualitycode	2
dc.identifier.cristin	2086539
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Algebraic Geometry&rft.volume=10&rft.spage=228&rft.date=2023
dc.identifier.jtitle	Algebraic Geometry
dc.identifier.volume	10
dc.identifier.issue	2
dc.identifier.startpage	228
dc.identifier.endpage	258
dc.identifier.doi	https://doi.org/10.14231/AG-2023-007
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	2313-1691
dc.type.version	PublishedVersion
dc.relation.project	NFR/313472