The density of rational points on non-singular hypersurfaces, II

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dc.creatorBrowning, T. D.
dc.creatorHeath-Brown, D. R.
dc.date2005-05-10
dc.date2005-11-21
dc.date.accessioned2026-07-07T06:39:55Z
dc.date.available2026-07-07T06:39:55Z
dc.descriptionThis paper establishes the conjecture that a non-singular projective hypersurface of dimension $r$, which is not equal to a linear space, contains $O(B^{r+ε})$ rational points of height at most $B$, for any choice of $ε>0$. The implied constant in this estimate depends at most upon $ε, r$ and the degree of the hypersurface.
dc.description36 pages; appendix by J. Starr
dc.identifierhttps://arxiv.org/abs/math/0505186
dc.identifierhttp://arxiv.org/abs/math/0505186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101261
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11D45 (11G35,14G05)
dc.titleThe density of rational points on non-singular hypersurfaces, II
dc.typetext

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