Isogenies of Jacobians

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dc.contributor.authorMarcucci, Valeria
dc.contributor.authorNaranjo del Val, Juan Carlos
dc.contributor.authorPirola, Gian Pietro
dc.date.accessioned2021-02-21T22:15:19Z
dc.date.available2021-02-21T22:15:19Z
dc.date.issued2015-12-13
dc.date.updated2021-02-21T22:15:19Z
dc.description.abstractBy studying the infinitesimal variations of the Hodge structure and a generalization of the classical Babbage-Enriques-Petri theorem, we prove that the Jacobian variety of a generic element of a codimension k subvariety of Mg is not isogenous to different Jacobian if g > 3k + 4. We extend this result to k = 1, g > 5 by using degeneration methods.
dc.format.extent17 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec647361
dc.identifier.issn2214-2584
dc.identifier.urihttps://hdl.handle.net/2445/174102
dc.language.isoeng
dc.publisherFoundation Compositio Mathematica
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.14231/AG-2016-020
dc.relation.ispartofAlgebraic Geometry, 2015, vol. 3, num. 4, p. 424-440
dc.relation.urihttps://doi.org/10.14231/AG-2016-020
dc.rightscc-by-nc (c) Marcucci, Valeria et al., 2015
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.classificationEquacions de Hamilton-Jacobi
dc.subject.classificationCàlcul de variacions
dc.subject.classificationVarietats abelianes
dc.subject.otherHamilton-Jacobi equations
dc.subject.otherCalculus of variations
dc.subject.otherAbelian varieties
dc.titleIsogenies of Jacobians
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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