dc.contributor.author | Knutsen, Andreas Leopold | |
dc.date.accessioned | 2021-08-03T08:34:55Z | |
dc.date.available | 2021-08-03T08:34:55Z | |
dc.date.created | 2021-01-10T17:14:22Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0021-7824 | |
dc.identifier.uri | https://hdl.handle.net/11250/2765949 | |
dc.description.abstract | We prove that, for any g≥2, the étale double cover ρg:Eg→̂Eg from the moduli space Egof complex polarized genus g Enriques surfaces to the moduli space ̂Egof numerically polarized genus g Enriques surfaces is disconnected precisely over irreducible components of ̂Eg parametrizing 2-divisible classes, answering a question of Gritsenko and Hulek [13]. We characterize all irreducible components of Egin terms of a new invariant of line bundles on Enriques surfaces that generalizes the φ-invariant introduced by Cossec [8]. In particular, we get a one-to-one correspondence between the irreducible components of Egand 11-tuples of integers satisfying particular conditions. This makes it possible, in principle, to list all irreducible components of Eg for each g≥2. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | On moduli spaces of polarized Enriques surfaces | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2020 The Author | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.doi | 10.1016/j.matpur.2020.10.003 | |
dc.identifier.cristin | 1868364 | |
dc.source.journal | Journal des Mathématiques Pures et Appliquées | en_US |
dc.source.pagenumber | 106-136 | en_US |
dc.identifier.citation | Journal des Mathématiques Pures et Appliquées. 2020, 144, 106-136. | en_US |
dc.source.volume | 144 | en_US |