dc.date.accessioned | 2017-09-05T14:42:49Z | |
dc.date.available | 2017-09-05T14:42:49Z | |
dc.date.created | 2015-08-31T16:13:29Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Iliev, Atanas Kapustka, Grzegorz Kapustka, Michal Ranestad, Kristian . EPW Cubes. Journal für die Reine und Angewandte Mathematik. 2016 | |
dc.identifier.uri | http://hdl.handle.net/10852/57831 | |
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. | en_US |
dc.language | EN | |
dc.publisher | de Gruyter | |
dc.title | EPW Cubes | en_US |
dc.type | Journal article | en_US |
dc.creator.author | Iliev, Atanas | |
dc.creator.author | Kapustka, Grzegorz | |
dc.creator.author | Kapustka, Michal | |
dc.creator.author | Ranestad, Kristian | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | publishedversion | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 1261010 | |
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=Journal für die Reine und Angewandte Mathematik&rft.volume=&rft.spage=&rft.date=2016 | |
dc.identifier.jtitle | Journal für die Reine und Angewandte Mathematik | |
dc.identifier.doi | http://dx.doi.org/10.1515/crelle-2016-0044 | |
dc.identifier.urn | URN:NBN:no-60549 | |
dc.type.document | Tidsskriftartikkel | en_US |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0075-4102 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/57831/4/EPW_Cubes.pdf | |
dc.type.version | PublishedVersion | |