Density of rational points on diagonal quartic surfaces

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dc.creatorLogan, Adam
dc.creatorMcKinnon, David
dc.creatorvan Luijk, Ronald
dc.date2008-12-27
dc.date2009-02-27
dc.date.accessioned2026-07-07T12:47:01Z
dc.date.available2026-07-07T12:47:01Z
dc.descriptionLet a,b,c,d be nonzero rational numbers whose product is a square, and let V be the diagonal quartic surface in PP^3 defined by ax^4+by^4+cz^4+dw^4=0. We prove that if V contains a rational point that does not lie on any of the 48 lines on V or on any of the coordinate planes, then the set of rational points on V is dense in both the Zariski topology and the real analytic topology.
dc.descriptionadded reference
dc.identifierhttps://arxiv.org/abs/0812.4779
dc.identifierhttp://arxiv.org/abs/0812.4779
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221578
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject11Dxx, 11Gxx, 14Gxx, 14Jxx
dc.titleDensity of rational points on diagonal quartic surfaces
dc.typetext

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