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http://hdl.handle.net/2445/143342
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DC Field | Value | Language |
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dc.contributor.author | Naranjo del Val, Juan Carlos | - |
dc.contributor.author | Pirola, G. P. | - |
dc.date.accessioned | 2019-10-28T16:01:53Z | - |
dc.date.available | 2020-09-30T05:10:23Z | - |
dc.date.issued | 2018-09 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://hdl.handle.net/2445/143342 | - |
dc.description.abstract | In this note we mainly consider abelian varieties isogenous to hyperelliptic Jacobians. In the first part we prove that a very general hyperelliptic Jacobian of genus is not isogenous to a non-hyperelliptic Jacobian. As a consequence we obtain that the intermediate Jacobian of a very general cubic threefold is not isogenous to a Jacobian. Another corollary tells that the Jacobian of a very general d-gonal curve of genus is not isogenous to a different Jacobian. In the second part we consider a closed subvariety of the moduli space of principally polarized varieties of dimension . We show that if a very general element of is dominated by the Jacobian of a curve C and , then C is not hyperelliptic. In particular, if the general element in is simple, its Kummer variety does not contain rational curves. Finally we show that a closed subvariety of dimension such that the Jacobian of a very general element of is dominated by a hyperelliptic Jacobian is contained either in the hyperelliptic or in the trigonal locus. | - |
dc.format.extent | 14 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier B.V. | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1016/j.aim.2018.07.025 | - |
dc.relation.ispartof | Advances in Mathematics, 2018, vol. 335, p. 896-909 | - |
dc.relation.uri | https://doi.org/10.1016/j.aim.2018.07.025 | - |
dc.rights | cc-by-nc-nd (c) Elsevier B.V., 2018 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Matrius (Matemàtica) | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.other | Matrices | - |
dc.subject.other | Algebraic geometry | - |
dc.title | Hyperelliptic Jacobians and isogenies | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 681350 | - |
dc.date.updated | 2019-10-28T16:01:53Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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681350.pdf | 186.52 kB | Adobe PDF | View/Open |
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