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

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This 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.
36 pages; appendix by J. Starr

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Number Theory, Algebraic Geometry, 11D45 (11G35,14G05)

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http://salesiana.dossiersoluciones.com/handle/123456789/101261

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505186
 http://arxiv.org/abs/math/0505186

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arXiv