Free rational points on smooth hypersurfaces

Browning, Timothy D; Sawin, Will

Free rational points on smooth hypersurfaces

Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 95(4), 635–659.

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https://arxiv.org/abs/1906.08463 [Preprint]

DOI

10.4171/CMH/499

Journal Article | Published | English

Scopus indexed

Author

Browning, Timothy D^ISTA ; Sawin, Will

Department

Browning Group

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.

Publishing Year

2020

Date Published

2020-12-07

Journal Title

Commentarii Mathematici Helvetici

Volume

Issue

Page

635-659

ISSN

00102571

eISSN

14208946

IST-REx-ID

9007

Cite this

Browning TD, Sawin W. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 2020;95(4):635-659. doi:10.4171/CMH/499

Browning, T. D., & Sawin, W. (2020). Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. European Mathematical Society. https://doi.org/10.4171/CMH/499

Browning, Timothy D, and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.” Commentarii Mathematici Helvetici. European Mathematical Society, 2020. https://doi.org/10.4171/CMH/499.

T. D. Browning and W. Sawin, “Free rational points on smooth hypersurfaces,” Commentarii Mathematici Helvetici, vol. 95, no. 4. European Mathematical Society, pp. 635–659, 2020.

Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 95(4), 635–659.

Browning, Timothy D., and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.” Commentarii Mathematici Helvetici, vol. 95, no. 4, European Mathematical Society, 2020, pp. 635–59, doi:10.4171/CMH/499.

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