Beyond the Manin obstruction

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dc.creatorSkorobogatov, Alexei
dc.date1997-11-05
dc.date.accessioned2026-07-07T01:51:15Z
dc.date.available2026-07-07T01:51:15Z
dc.descriptionWe construct a (smooth, projective) surface over the field of rational numbers, which is a counterexample to the Hasse principle not accounted for by the Manin obstruction. The construction relies on the classical 4-descent on elliptic curves. By combining the Manin obstruction with descent we define a refinement of the Manin obstruction which for surfaces of the type considered suffices to explain the absence of a rational point.
dc.descriptionPlain TeX, 15 pages, an appendix by S. Siksek
dc.identifierhttps://arxiv.org/abs/alg-geom/9711006
dc.identifierhttp://arxiv.org/abs/alg-geom/9711006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/253
dc.subjectAlgebraic Geometry
dc.titleBeyond the Manin obstruction
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