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

T. D. Browning·D. R. Heath-Brown
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Abstract

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.

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BibTeXRIS

T. D. Browning, D. R. Heath-Brown. 2005-11-21. The density of rational points on non-singular hypersurfaces, II. https://arxiv.org/abs/math/0505186

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