Free rational points on smooth hypersurfaces

Tim Browning; Will Sawin

doi:10.4171/CMH/499

Free rational points on smooth hypersurfaces

Tim Browning
, Will Sawin

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Pages (from-to)	635-659
Number of pages	25
Journal	Commentarii Mathematici Helvetici
Volume	95
Issue number	4
DOIs	https://doi.org/10.4171/CMH/499
State	Published - 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Circle method
Freeness
Geometry of numbers
Heights
Rational points

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10.4171/CMH/499

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title = "Free rational points on smooth hypersurfaces",

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.",

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AU - Sawin, Will

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KW - Circle method

KW - Freeness

KW - Geometry of numbers

KW - Heights

KW - Rational points

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UR - https://www.scopus.com/pages/publications/85099108918#tab=citedBy

U2 - 10.4171/CMH/499

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Free rational points on smooth hypersurfaces

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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