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arXiv · 1308.0060

Integral points on quadratic twists and linear growth for certain elliptic fibrations

Pierre Le Boudec
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Abstract

We prove that the number of rational points of bounded height on certain del Pezzo surfaces of degree 1 defined over Q grows linearly, as predicted by Manin's conjecture. Along the way, we investigate the average number of integral points of small naive height on quadratic twists of a fixed elliptic curve with full rational 2-torsion.

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Pierre Le Boudec. 2013-07-31. Integral points on quadratic twists and linear growth for certain elliptic fibrations. https://arxiv.org/abs/1308.0060

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