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dc.contributor.authorKnutsen, Andreas Leopold
dc.contributor.authorLelli-Chiesa, Margherita
dc.contributor.authorVerra, Alessandro
dc.date.accessioned2021-08-19T10:56:33Z
dc.date.available2021-08-19T10:56:33Z
dc.date.created2021-03-09T12:01:22Z
dc.date.issued2020
dc.identifier.issn0391-173X
dc.identifier.urihttps://hdl.handle.net/11250/2770267
dc.description.abstractPrimitively 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.isoengen_US
dc.publisherScuola Normale Superioreen_US
dc.titleModuli of non-standard Nikulin surfaces in low genusen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.description.versionacceptedVersionen_US
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1
dc.identifier.doihttps://doi.org/10.2422/2036-2145.201802_018
dc.identifier.cristin1896617
dc.source.journalAnnali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie Ven_US
dc.source.pagenumber361-384en_US
dc.identifier.citationAnnali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V. 2020, XXI (issue special), 361-384.en_US
dc.source.volumeXXIen_US
dc.source.issuespecialen_US


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