---
_id: '13180'
abstract:
- lang: eng
  text: We study the density of everywhere locally soluble diagonal quadric surfaces,
    parameterised by rational points that lie on a split quadric surface
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: Julian
  full_name: Lyczak, Julian
  id: 3572849A-F248-11E8-B48F-1D18A9856A87
  last_name: Lyczak
- first_name: Roman
  full_name: Sarapin, Roman
  last_name: Sarapin
citation:
  ama: Browning TD, Lyczak J, Sarapin R. Local solubility for a family of quadrics
    over a split quadric surface. <i>Involve</i>. 2023;16(2):331-342. doi:<a href="https://doi.org/10.2140/involve.2023.16.331">10.2140/involve.2023.16.331</a>
  apa: Browning, T. D., Lyczak, J., &#38; Sarapin, R. (2023). Local solubility for
    a family of quadrics over a split quadric surface. <i>Involve</i>. Mathematical
    Sciences Publishers. <a href="https://doi.org/10.2140/involve.2023.16.331">https://doi.org/10.2140/involve.2023.16.331</a>
  chicago: Browning, Timothy D, Julian Lyczak, and Roman Sarapin. “Local Solubility
    for a Family of Quadrics over a Split Quadric Surface.” <i>Involve</i>. Mathematical
    Sciences Publishers, 2023. <a href="https://doi.org/10.2140/involve.2023.16.331">https://doi.org/10.2140/involve.2023.16.331</a>.
  ieee: T. D. Browning, J. Lyczak, and R. Sarapin, “Local solubility for a family
    of quadrics over a split quadric surface,” <i>Involve</i>, vol. 16, no. 2. Mathematical
    Sciences Publishers, pp. 331–342, 2023.
  ista: Browning TD, Lyczak J, Sarapin R. 2023. Local solubility for a family of quadrics
    over a split quadric surface. Involve. 16(2), 331–342.
  mla: Browning, Timothy D., et al. “Local Solubility for a Family of Quadrics over
    a Split Quadric Surface.” <i>Involve</i>, vol. 16, no. 2, Mathematical Sciences
    Publishers, 2023, pp. 331–42, doi:<a href="https://doi.org/10.2140/involve.2023.16.331">10.2140/involve.2023.16.331</a>.
  short: T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342.
corr_author: '1'
date_created: 2023-07-02T22:00:43Z
date_published: 2023-05-26T00:00:00Z
date_updated: 2024-10-09T21:05:51Z
day: '26'
department:
- _id: TiBr
doi: 10.2140/involve.2023.16.331
external_id:
  arxiv:
  - '2203.06881'
intvolume: '        16'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2203.06881
month: '05'
oa: 1
oa_version: Preprint
page: 331-342
publication: Involve
publication_identifier:
  eissn:
  - 1944-4184
  issn:
  - 1944-4176
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Local solubility for a family of quadrics over a split quadric surface
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2023'
...
---
_id: '13973'
abstract:
- lang: eng
  text: We construct families of log K3 surfaces and study the arithmetic of their
    members. We use this to produce explicit surfaces with an order 5 Brauer–Manin
    obstruction to the integral Hasse principle.
acknowledgement: "This paper was completed as part of a project which received funding
  from the\r\nEuropean Union’s Horizon 2020 research and innovation programme under
  the Marie\r\nSkłodowska-Curie grant agreement No. 754411."
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Julian
  full_name: Lyczak, Julian
  id: 3572849A-F248-11E8-B48F-1D18A9856A87
  last_name: Lyczak
citation:
  ama: Lyczak J. Order 5 Brauer–Manin obstructions to the integral Hasse principle
    on log K3 surfaces. <i>Annales de l’Institut Fourier</i>. 2023;73(2):447-478.
    doi:<a href="https://doi.org/10.5802/aif.3529">10.5802/aif.3529</a>
  apa: Lyczak, J. (2023). Order 5 Brauer–Manin obstructions to the integral Hasse
    principle on log K3 surfaces. <i>Annales de l’Institut Fourier</i>. Association
    des Annales de l’Institut Fourier. <a href="https://doi.org/10.5802/aif.3529">https://doi.org/10.5802/aif.3529</a>
  chicago: Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse
    Principle on Log K3 Surfaces.” <i>Annales de l’Institut Fourier</i>. Association
    des Annales de l’Institut Fourier, 2023. <a href="https://doi.org/10.5802/aif.3529">https://doi.org/10.5802/aif.3529</a>.
  ieee: J. Lyczak, “Order 5 Brauer–Manin obstructions to the integral Hasse principle
    on log K3 surfaces,” <i>Annales de l’Institut Fourier</i>, vol. 73, no. 2. Association
    des Annales de l’Institut Fourier, pp. 447–478, 2023.
  ista: Lyczak J. 2023. Order 5 Brauer–Manin obstructions to the integral Hasse principle
    on log K3 surfaces. Annales de l’Institut Fourier. 73(2), 447–478.
  mla: Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle
    on Log K3 Surfaces.” <i>Annales de l’Institut Fourier</i>, vol. 73, no. 2, Association
    des Annales de l’Institut Fourier, 2023, pp. 447–78, doi:<a href="https://doi.org/10.5802/aif.3529">10.5802/aif.3529</a>.
  short: J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.
corr_author: '1'
date_created: 2023-08-06T22:01:12Z
date_published: 2023-05-12T00:00:00Z
date_updated: 2025-04-14T07:43:56Z
day: '12'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.5802/aif.3529
ec_funded: 1
external_id:
  arxiv:
  - '2005.14013'
  isi:
  - '001000279500001'
file:
- access_level: open_access
  checksum: daf53fc614c894422e4c0fb3d2a2ae3e
  content_type: application/pdf
  creator: dernst
  date_created: 2023-08-07T07:19:42Z
  date_updated: 2023-08-07T07:19:42Z
  file_id: '13977'
  file_name: 2023_AnnalesFourier_Lyczak.pdf
  file_size: 1529821
  relation: main_file
  success: 1
file_date_updated: 2023-08-07T07:19:42Z
has_accepted_license: '1'
intvolume: '        73'
isi: 1
issue: '2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '05'
oa: 1
oa_version: Published Version
page: 447-478
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Annales de l'Institut Fourier
publication_identifier:
  issn:
  - 0373-0956
publication_status: published
publisher: Association des Annales de l'Institut Fourier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3
  surfaces
tmp:
  image: /image/cc_by_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
  name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
  short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 73
year: '2023'
...