--- res: bibo_abstract: - For any n ≧ 2, let F ∈ ℤ [ x 1, … , xn ] be a form of degree d≧ 2, which produces a geometrically irreducible hypersurface in ℙn–1. This paper is concerned with the number N(F;B) of rational points on F = 0 which have height at most B. For any ε > 0 we establish the estimate N(F; B) = O(B n− 2+ ε ), whenever either n ≦ 5 or the hypersurface is not a union of lines. Here the implied constant depends at most upon d, n and ε.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Timothy D foaf_name: Timothy Browning foaf_surname: Browning foaf_workInfoHomepage: http://www.librecat.org/personId=35827D50-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-8314-0177 - foaf_Person: foaf_givenName: Roger foaf_name: Heath-Brown, Roger foaf_surname: Heath Brown bibo_doi: https://doi.org/10.1515/crll.2005.2005.584.83 bibo_issue: '584' dct_date: 2005^xs_gYear dct_publisher: Walter de Gruyter and Co @ dct_title: Counting rational points on hypersurfaces@ ...