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Rational points on cubic hypersurfaces that split off two forms
Author(s) -
Xue Boqing,
Dai Haobo
Publication year - 2014
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdt084
Subject(s) - mathematics , hypersurface , cubic form , cubic surface , cubic function , pure mathematics , combinatorics , mathematical analysis
We show that if X ⊆ ℙ n −1 is a cubic hypersurface defined over ℚ by a cubic form that splits off two forms, and n ⩾11, then X (ℚ) is non‐empty. The same holds for an ( m 1 , m 2 )‐form with m 1 ⩾4 and m 2 ⩾5.
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