Elliptic K3 surfaces with geometric Mordell-Weil rank 15

dc.creatorKloosterman, Remke
dc.date2005-02-21
dc.date.accessioned2026-07-07T05:17:21Z
dc.date.available2026-07-07T05:17:21Z
dc.descriptionWe prove that the elliptic surface y^2=x^3+2(t^8+14t^4+1)x+4t^2(t^8+6t^4+1) has geometric Mordell-Weil rank 15. This completes a list of Kuwata, who gave explicit examples of elliptic K3-surfaces with geometric Mordell-Weil rank 0,1,..., 14, 16, 17,18.
dc.identifierhttps://arxiv.org/abs/math/0502439
dc.identifierhttp://arxiv.org/abs/math/0502439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74268
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleElliptic K3 surfaces with geometric Mordell-Weil rank 15
dc.typetext

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