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arXiv · 1906.08463

Free rational points on smooth hypersurfaces

Tim Browning·Will Sawin
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Abstract

Motivated by a recent question of Peyre, we apply the Hardy-Littlewood circle method to count "sufficiently free" rational points of bounded height on arbitrary smooth projective hypersurfaces of low degree that are defined over the rational numbers.

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Tim Browning, Will Sawin. 2019-06-20. Free rational points on smooth hypersurfaces. https://arxiv.org/abs/1906.08463

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