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Geometry of Prym semicanonical pencils and an application to cubic threefolds

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dc.contributor.authorLahoz Vilalta, Martí
dc.contributor.authorNaranjo del Val, Juan Carlos
dc.contributor.authorRojas, Andrés
dc.date.accessioned2023-05-02T09:16:32Z
dc.date.available2023-05-02T09:16:32Z
dc.date.issued2023-04-18
dc.date.updated2023-05-02T09:16:32Z
dc.description.abstractIn the moduli space $\mathcal{R}_{\mathrm{g}}$ of double étale covers of curves of a fixed genus $g$, the locus formed by covers of curves with a semicanonical pencil consists of two irreducible divisors $\mathcal{T}_g{ }^e$ and $\mathcal{T}_g^o$. We study the Prym map on these divisors, which shows significant differences between them and has a rich geometry in the cases of low genus. In particular, the analysis of $\mathcal{T}_5^o$ has enumerative consequences for lines on cubic threefolds.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec723793
dc.identifier.issn0025-584X
dc.identifier.urihttps://hdl.handle.net/2445/197448
dc.language.isoeng
dc.publisherWiley-VCH
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.1002/mana.202100631
dc.relation.ispartofMathematische Nachrichten, 2023
dc.relation.urihttps://doi.org/10.1002/mana.202100631
dc.rightscc by-nc (c) Martí Lahoz et al., 2023
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc/3.0/es/*
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationGeometria algebraica
dc.subject.classificationCorbes algebraiques
dc.subject.classificationVarietats abelianes
dc.subject.otherAlgebraic geometry
dc.subject.otherAlgebraic curves
dc.subject.otherAbelian varieties
dc.titleGeometry of Prym semicanonical pencils and an application to cubic threefolds
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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