Universal torsors over Del Pezzo surfaces and rational points

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dc.creatorDerenthal, Ulrich
dc.creatorTschinkel, Yuri
dc.date2006-04-09
dc.date.accessioned2026-07-07T07:10:41Z
dc.date.available2026-07-07T07:10:41Z
dc.descriptionWe discuss Manin's conjecture concerning the distribution of rational points of bounded height on Del Pezzo surfaces, and its refinement by Peyre, and explain applications of universal torsors to counting problems. To illustrate the method, we provide a proof of Manin's conjecture for the unique split singular quartic Del Pezzo surface with a singularity of type D4. (Lectures at the summer school "Equidistribution in number theory", Montreal, August 2005)
dc.description33 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0604193
dc.identifierhttp://arxiv.org/abs/math/0604193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111495
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G35 (Primary) 14G05, 14G10 (Secondary)
dc.titleUniversal torsors over Del Pezzo surfaces and rational points
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