Abstract
We develop a new approach for counting integral solutions of the system of equations associated to rational lines on cubic hypersurface. As a consequence, we deduce the density result for rational lines on the cubic hypersurface defined by c1z 1 3 + ··· + c s z s 3 = 0 as soon as s≥21.
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This work is supported by the National Natural Science Foundation of China (Grant No. 11401154).
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Zhao, L. Rational lines on cubic hypersurfaces. Isr. J. Math. 215, 877–907 (2016). https://doi.org/10.1007/s11856-016-1397-3
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DOI: https://doi.org/10.1007/s11856-016-1397-3