TY - JOUR
AB - For any integers d,n ≥2, let X ⊂ Pn be a non‐singular hypersurface of degree d that is defined over the rational numbers. The main result in this paper is a proof that the number of rational points on X which have height at most B is O(Bn − 1 + ɛ), for any ɛ > 0. The implied constant in this estimate depends at most upon d, ɛ and n. 2000 Mathematics Subject Classification 11D45 (primary), 11G35, 14G05 (secondary).
AU - Timothy Browning
AU - Heath-Brown, Roger
AU - Starr, Jason M
ID - 213
IS - 2
JF - Proceedings of the London Mathematical Society
TI - The density of rational points on non-singular hypersurfaces, II
VL - 93
ER -