---
_id: '175'
abstract:
- lang: eng
  text: An upper bound sieve for rational points on suitable varieties isdeveloped,
    together with applications tocounting rational points in thin sets,to local solubility
    in families, and to the notion of “friable” rational pointswith respect to divisors.
    In the special case of quadrics, sharper estimates areobtained by developing a
    version of the Selberg sieve for rational points.
article_processing_charge: No
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Daniel
  full_name: Loughran, Daniel
  last_name: Loughran
citation:
  ama: Browning TD, Loughran D. Sieving rational points on varieties. <i>Transactions
    of the American Mathematical Society</i>. 2019;371(8):5757-5785. doi:<a href="https://doi.org/10.1090/tran/7514">10.1090/tran/7514</a>
  apa: Browning, T. D., &#38; Loughran, D. (2019). Sieving rational points on varieties.
    <i>Transactions of the American Mathematical Society</i>. American Mathematical
    Society. <a href="https://doi.org/10.1090/tran/7514">https://doi.org/10.1090/tran/7514</a>
  chicago: Browning, Timothy D, and Daniel Loughran. “Sieving Rational Points on Varieties.”
    <i>Transactions of the American Mathematical Society</i>. American Mathematical
    Society, 2019. <a href="https://doi.org/10.1090/tran/7514">https://doi.org/10.1090/tran/7514</a>.
  ieee: T. D. Browning and D. Loughran, “Sieving rational points on varieties,” <i>Transactions
    of the American Mathematical Society</i>, vol. 371, no. 8. American Mathematical
    Society, pp. 5757–5785, 2019.
  ista: Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions
    of the American Mathematical Society. 371(8), 5757–5785.
  mla: Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.”
    <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 8, American
    Mathematical Society, 2019, pp. 5757–85, doi:<a href="https://doi.org/10.1090/tran/7514">10.1090/tran/7514</a>.
  short: T.D. Browning, D. Loughran, Transactions of the American Mathematical Society
    371 (2019) 5757–5785.
date_created: 2018-12-11T11:45:01Z
date_published: 2019-04-15T00:00:00Z
date_updated: 2025-07-10T11:51:20Z
day: '15'
department:
- _id: TiBr
doi: 10.1090/tran/7514
external_id:
  arxiv:
  - '1705.01999'
  isi:
  - '000464034200019'
intvolume: '       371'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1705.01999
month: '04'
oa: 1
oa_version: Preprint
page: 5757-5785
publication: Transactions of the American Mathematical Society
publication_identifier:
  eissn:
  - 1088-6850
  issn:
  - 0002-9947
publication_status: published
publisher: American Mathematical Society
publist_id: '7746'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sieving rational points on varieties
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 371
year: '2019'
...