dc.contributor.author | Knutsen, Andreas Leopold | |
dc.contributor.author | Lelli-Chiesa, Margherita | |
dc.contributor.author | Verra, Alessandro | |
dc.date.accessioned | 2021-08-19T10:56:33Z | |
dc.date.available | 2021-08-19T10:56:33Z | |
dc.date.created | 2021-03-09T12:01:22Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0391-173X | |
dc.identifier.uri | https://hdl.handle.net/11250/2770267 | |
dc.description.abstract | Primitively polarized genus g Nikulin surfaces (S, M, H) are of two types, that we call standard and non-standard depending on whether the lattice embedding Z[H] ⊕⊥ N ⊂ Pic S is primitive. Here H is the genus g polarization and N is the Nikulin lattice. We concentrate on the non-standard case, which only occurs in odd genus. In particular, we study the birational geometry of the moduli space of nonstandard Nikulin surfaces of genus g and prove its rationality for g = 7, 11 and the existence of a rational double cover of it when g = 9. Furthermore, if (S, M, H) is general in the above moduli space and (C, M|C ) is a general Prym curve in |H|, we determine the dimension of the family of non-standard Nikulin surfaces of genus g containing (C, M|C ) for 3 ≤ g ≤ 11; this completes the study of the Prym-Nikulin map initiated in [KLV]. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Scuola Normale Superiore | en_US |
dc.title | Moduli of non-standard Nikulin surfaces in low genus | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | acceptedVersion | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.doi | https://doi.org/10.2422/2036-2145.201802_018 | |
dc.identifier.cristin | 1896617 | |
dc.source.journal | Annali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V | en_US |
dc.source.pagenumber | 361-384 | en_US |
dc.identifier.citation | Annali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V. 2020, XXI (issue special), 361-384. | en_US |
dc.source.volume | XXI | en_US |
dc.source.issue | special | en_US |