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The second fundamental form of the moduli space of cubic threefolds in $\mathcal{A}_5$

dc.contributor.authorColombo, Elisabetta
dc.contributor.authorFrediani, Paola
dc.contributor.authorNaranjo del Val, Juan Carlos
dc.contributor.authorPirola, Gian Pietro
dc.date.accessioned2024-02-19T11:24:41Z
dc.date.available2024-02-19T11:24:41Z
dc.date.issued2023-10-27
dc.date.updated2024-02-19T11:24:41Z
dc.description.abstractWe study the second fundamental form of the Siegel metric in $\mathcal{A}_5$ restricted to the locus of intermediate Jacobians of cubic threefolds. We prove that the image of this second fundamental form, which is known to be non-trivial, is contained in the kernel of a suitable multiplication map. Some ingredients are: the conic bundle structure of cubic threefolds, Prym theory, Gaussian maps and Jacobian ideals.
dc.format.extent24 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec736166
dc.identifier.issn2491-6765
dc.identifier.urihttps://hdl.handle.net/2445/207689
dc.language.isoeng
dc.publisherEpisciences
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.46298/epiga.2023.9962
dc.relation.ispartofEpijournal de Geometrie Algebrique, 2023
dc.relation.urihttps://doi.org/10.46298/epiga.2023.9962
dc.rightscc-by-sa (c) Colombo, E. et al., 2023
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-sa/4.0/
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationCorbes algebraiques
dc.subject.classificationFuncions de diverses variables complexes
dc.subject.classificationSuperfícies algebraiques
dc.subject.classificationGeometria algebraica
dc.subject.otherAlgebraic curves
dc.subject.otherFunctions of several complex variables
dc.subject.otherAlgebraic surfaces
dc.subject.otherAlgebraic geometry
dc.titleThe second fundamental form of the moduli space of cubic threefolds in $\mathcal{A}_5$
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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