Sieving rational points on varieties

Tim Browning; Daniel Loughran

doi:10.1090/tran/7514

Sieving rational points on varieties

Tim Browning, Daniel Loughran

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

A sieve for rational points on suitable varieties is developed, together with applications to counting rational points in thin sets, the number of varieties in a family which are everywhere locally soluble, and to the notion of friable rational points with respect to divisors. In the special case of quadrics, sharper estimates are obtained by developing a version of the Selberg sieve for rational points.

Original language	English
Number of pages	29
Journal	Transactions of the American Mathematical Society
Early online date	18 Sept 2018
DOIs	https://doi.org/10.1090/tran/7514
Publication status	E-pub ahead of print - 18 Sept 2018

Keywords

math.NT
14D10
14G05
11N36
11P55

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10.1090/tran/7514

Full-text PDF (accepted author manuscript)
This is the author accepted manuscript (AAM). The final published version (version of record) is available online via AMS at http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2018-07514-6/home.html . Please refer to any applicable terms of use of the publisher.
Accepted author manuscript, 488 KB

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Between rational and integral points
Browning, T. D. (Principal Investigator)
1/11/17 → 1/09/18
Project: Research

Cite this

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KW - 14G05

KW - 11N36

KW - 11P55

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M3 - Article (Academic Journal)

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Sieving rational points on varieties

Abstract

Keywords

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Projects

Between rational and integral points

Cite this