Semistable abelian Varieties over Q

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dc.creatorCalegari, Frank
dc.date2003-11-21
dc.date.accessioned2026-07-07T05:03:06Z
dc.date.available2026-07-07T05:03:06Z
dc.descriptionWe prove that for N=6 and N=10, there do not exist any non-zero semistable abelian varieties over Q with good reduction outside primes dividing N. Our results are contingent on the GRH discriminant bounds of Odlyzko. Combined with recent results of Brumer--Kramer and of Schoof, this result is best possible: if N is squarefree, there exists a non-zero semistable abelian variety over Q with good reduction outside primes dividing N precisely when N is not in the set {1,2,3,5,6,7,10,13}.
dc.description24 pages, to appear in Manuscripta Mathematica
dc.identifierhttps://arxiv.org/abs/math/0311365
dc.identifierhttp://arxiv.org/abs/math/0311365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69281
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14K15
dc.titleSemistable abelian Varieties over Q
dc.typetext

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