Manin's conjecture for a certain singular cubic surface

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dc.creatorDerenthal, Ulrich
dc.date2005-04-01
dc.date.accessioned2026-07-07T05:18:43Z
dc.date.available2026-07-07T05:18:43Z
dc.descriptionWe prove Manin's conjecture for a singular cubic surface S with a singularity of type E6. If U is the open subset of S obtained by deleting the unique line from S, then the number of rational points in U with anticanonical height bounded by B behaves asymptotically as cB(log B)^6, where the constant c agrees with the one conjectured by Peyre.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0504016
dc.identifierhttp://arxiv.org/abs/math/0504016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74762
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G35 (Primary) 14G05, 14J45 (Secondary)
dc.titleManin's conjecture for a certain singular cubic surface
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