Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians

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dc.creatorZarhin, Yuri G.
dc.date2006-10-04
dc.date2007-04-18
dc.date.accessioned2026-07-07T07:56:57Z
dc.date.available2026-07-07T07:56:57Z
dc.descriptionIn this paper we study principally polarized complex abelian varieties that admit an automorphism of order 3. It turns out that certain natural conditions on the multiplicities of its action on the differentials of the first kind do guarantee that those polarized varieties are not jacobians of curves. As an application, we get another proof of the already known (thanks to Clemens and Griffiths) fact that intermediate jacobians of certain cubic threefolds are not jacobians of curves.
dc.descriptionLaTeX, 4 pages
dc.identifierhttps://arxiv.org/abs/math/0610138
dc.identifierhttp://arxiv.org/abs/math/0610138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127501
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14J45; 14K30
dc.titleCubic surfaces and cubic threefolds, jacobians and intermediate jacobians
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