Integral points on cubic hypersurfaces

Simple item page
dc.creatorBrowning, T. D.
dc.creatorHeath-Brown, D. R.
dc.date2006-11-03
dc.date2007-06-19
dc.date.accessioned2026-07-07T08:10:55Z
dc.date.available2026-07-07T08:10:55Z
dc.descriptionLet g be a cubic polynomial with integer coefficients and n>9 variables, and assume that the congruence g=0 modulo p^k is soluble for all prime powers p^k. We show that the equation g=0 has infinitely many integer solutions when the cubic part of g defines a projective hypersurface with singular locus of dimension <n-10. The proof is based on the Hardy-Littlewood circle method.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0611086
dc.identifierhttp://arxiv.org/abs/math/0611086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131959
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11D72; 11P55
dc.titleIntegral points on cubic hypersurfaces
dc.typetext

Files

Collections

arXiv