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dc.contributor.authorFedorov, Yuri
dc.contributor.authorEnolski, Viktor Z.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2014-12-11T08:09:29Z
dc.date.available2014-12-11T08:09:29Z
dc.date.created2014-11
dc.date.issued2014-11
dc.identifier.citationFedorov, Y.; Enolski, V.Z. "Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)". 2014.
dc.identifier.urihttp://hdl.handle.net/2117/24994
dc.description.abstractFor a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genus 2 curves whose Jacobians are degree 2 isogeneous to the Prym varieties associated to such coverings. Our description is based on previous studies of Prym varieties with polarization (1,2) in connection with separation of variables in a series of classical and new algebraic integrable systems linearized on such varieties. We also consider some special cases of the covering C -> E, in particular, when the corresponding Prym varieties contain pairs of elliptic curves and the Jacobian of C is isogeneous (but not isomorphic) to the product of 3 different elliptic curves. Our description is accompanied with explicit numerical examples
dc.format.extent51 p.
dc.language.isoeng
dc.relation.ispartofseriesarXiv:1411.6143
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.titleAlgebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)
dc.typeExternal research report
dc.subject.lemacSistemes dinàmics diferenciables
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.relation.publisherversionhttp://arxiv.org/pdf/1411.6143v1
dc.rights.accessOpen Access
drac.iddocument15341233
dc.description.versionPreprint
upcommons.citation.authorFedorov, Y.; Enolski, V.Z.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameAlgebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)


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