---
_id: '8742'
abstract:
- lang: eng
  text: We develop a version of Ekedahl’s geometric sieve for integral quadratic forms
    of rank at least five. As one ranges over the zeros of such quadratic forms, we
    use the sieve to compute the density of coprime values of polynomials, and furthermore,
    to address a question about local solubility in families of varieties parameterised
    by the zeros.
article_processing_charge: No
article_type: original
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: Roger
  full_name: Heath-Brown, Roger
  last_name: Heath-Brown
citation:
  ama: Browning TD, Heath-Brown R. The geometric sieve for quadrics. <i>Forum Mathematicum</i>.
    2021;33(1):147-165. doi:<a href="https://doi.org/10.1515/forum-2020-0074">10.1515/forum-2020-0074</a>
  apa: Browning, T. D., &#38; Heath-Brown, R. (2021). The geometric sieve for quadrics.
    <i>Forum Mathematicum</i>. De Gruyter. <a href="https://doi.org/10.1515/forum-2020-0074">https://doi.org/10.1515/forum-2020-0074</a>
  chicago: Browning, Timothy D, and Roger Heath-Brown. “The Geometric Sieve for Quadrics.”
    <i>Forum Mathematicum</i>. De Gruyter, 2021. <a href="https://doi.org/10.1515/forum-2020-0074">https://doi.org/10.1515/forum-2020-0074</a>.
  ieee: T. D. Browning and R. Heath-Brown, “The geometric sieve for quadrics,” <i>Forum
    Mathematicum</i>, vol. 33, no. 1. De Gruyter, pp. 147–165, 2021.
  ista: Browning TD, Heath-Brown R. 2021. The geometric sieve for quadrics. Forum
    Mathematicum. 33(1), 147–165.
  mla: Browning, Timothy D., and Roger Heath-Brown. “The Geometric Sieve for Quadrics.”
    <i>Forum Mathematicum</i>, vol. 33, no. 1, De Gruyter, 2021, pp. 147–65, doi:<a
    href="https://doi.org/10.1515/forum-2020-0074">10.1515/forum-2020-0074</a>.
  short: T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
date_created: 2020-11-08T23:01:25Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-10-17T07:39:01Z
day: '01'
department:
- _id: TiBr
doi: 10.1515/forum-2020-0074
external_id:
  arxiv:
  - '2003.09593'
  isi:
  - '000604750900008'
intvolume: '        33'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2003.09593
month: '01'
oa: 1
oa_version: Preprint
page: 147-165
project:
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P32428
  name: New frontiers of the Manin conjecture
publication: Forum Mathematicum
publication_identifier:
  eissn:
  - 1435-5337
  issn:
  - 0933-7741
publication_status: published
publisher: De Gruyter
quality_controlled: '1'
scopus_import: '1'
status: public
title: The geometric sieve for quadrics
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 33
year: '2021'
...