Rational points on cubic hypersurfaces that split off two forms

2012/11/18 by Xue, Boqing, Dai, Haobo
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1211.4215

Abstract

We show that if X⊆ ℙ^n-1, defined over ℚ by a cubic form that splits off two forms, with n≥ 11, then X(ℚ) is non-empty. The same holds for an (m₁,m₂)-form with m₁≥ 4 and m₂≥ 5.

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