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arXiv · 1807.00707

A uniform estimate for the density of rational points on quadrics

Félicien Comtat
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Abstract

This paper is concerned with the density of rational points of bounded height lying on a variety defined by an integral quadratic form Q. In the case of four variables, we give an estimate that does not depend on the coefficients of Q. For more variables, a similar estimate still holds with the restriction that we only count points which do not lie on rational lines.

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Félicien Comtat. 2018-07-02. A uniform estimate for the density of rational points on quadrics. https://doi.org/10.5802/jtnb.1078

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