Shioda-Tate formula for an abelian fibered variety and applications

dc.creatorOguiso, Keiji
dc.date2007-03-09
dc.date.accessioned2026-07-07T07:51:09Z
dc.date.available2026-07-07T07:51:09Z
dc.descriptionWe give an explicit formula for the Mordell-Weil rank of an abelian fibered variety and some of its applications for an abelian fibered hyperkähler manifold. As a byproduct, we also give an explicit example of an abelian fibered variety in which the Picard number of the generic fiber in the sense of scheme is different from the Picard number of generic closed fibers.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0703245
dc.identifierhttp://arxiv.org/abs/math/0703245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125413
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14C22;14D06; 14J28; 14J40
dc.titleShioda-Tate formula for an abelian fibered variety and applications
dc.typetext

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