JournalscmhVol. 95, No. 4pp. 635–659

Free rational points on smooth hypersurfaces

  • Tim D. Browning

    IST Austria, Klosterneuburg, Austria

  • Will Sawin

    Columbia University, New York, USA
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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 rationals.

Cite this article

Tim D. Browning, Will Sawin, Free rational points on smooth hypersurfaces. Comment. Math. Helv. 95 (2020), no. 4, pp. 635–659

DOI 10.4171/CMH/499