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arXiv · 1801.00979

Counting rational points on quadric surfaces

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

We give an upper bound for the number of rational points of height at most $B$, lying on a surface defined by a quadratic form $Q$. The bound shows an explicit dependence on $Q$. It is optimal with respect to $B$, and is also optimal for typical forms $Q$.

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T. D. Browning, D. R. Heath-Brown. 2018-09-07. Counting rational points on quadric surfaces. https://doi.org/10.19086/da.4375

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