dc.contributor.author | Iliev, Atanas | |
dc.contributor.author | Kapustka, Grzegorz | |
dc.contributor.author | Kapustka, Michal | |
dc.contributor.author | Ranestad, Kristian | |
dc.date.accessioned | 2020-03-09T08:45:34Z | |
dc.date.available | 2020-03-09T08:45:34Z | |
dc.date.created | 2015-08-31T16:13:29Z | |
dc.date.issued | 2016-08 | |
dc.identifier.citation | Iliev, A., Kaputska, G., Kaputska, M. et al. (2016) EPW Cubes. Journal fur die reine und angewandte mathematik, 2019(748) | nb_NO |
dc.identifier.issn | 0075-4102 | |
dc.identifier.uri | http://hdl.handle.net/11250/2645924 | |
dc.description.abstract | We construct a new 20-dimensional family of projective six-dimensional irreducible holomorphic symplectic manifolds. The elements of this family are deformation equivalent with the Hilbert scheme of three points on a K3 surface and are constructed as natural double covers of special codimension-three subvarieties of the Grassmannian G(3,6). These codimension-three subvarieties are defined as Lagrangian degeneracy loci and their construction is parallel to that of EPW sextics, we call them the EPW cubes. As a consequence we prove that the moduli space of polarized IHS sixfolds of K3-type, Beauville–Bogomolov degree 4 and divisibility 2 is unirational. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Walter de Gruyter GmbH | nb_NO |
dc.subject | matematikk | nb_NO |
dc.title | EPW Cubes | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.rights.holder | © 2019 Walter de Gruyter GmbH, Berlin/Boston. | nb_NO |
dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410 | nb_NO |
dc.source.volume | 2019 | nb_NO |
dc.source.journal | Journal für die Reine und Angewandte Mathematik | nb_NO |
dc.source.issue | 748 | nb_NO |
dc.identifier.doi | 10.1515/crelle-2016-0044 | |
dc.identifier.cristin | 1261010 | |
dc.relation.project | Norges forskningsråd: 239015 | nb_NO |
cristin.unitcode | 217,8,2,0 | |
cristin.unitname | Institutt for matematikk og naturvitenskap | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |