---
_id: '10018'
abstract:
- lang: eng
  text: In order to study integral points of bounded log-anticanonical height on weak
    del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example,
    we consider a quartic del Pezzo surface of singularity type A1 + A3 and prove
    an analogue of Manin's conjecture for integral points with respect to its singularities
    and its lines.
acknowledgement: The first author was partly supported by grant DE 1646/4-2 of the
  Deutsche Forschungsgemeinschaft. The second author was partly supported by FWF grant
  P 32428-N35 and conducted part of this work as a guest at the Institut de Mathématiques
  de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Ulrich
  full_name: Derenthal, Ulrich
  last_name: Derenthal
- first_name: Florian Alexander
  full_name: Wilsch, Florian Alexander
  id: 560601DA-8D36-11E9-A136-7AC1E5697425
  last_name: Wilsch
  orcid: 0000-0001-7302-8256
citation:
  ama: Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. <i>Journal
    of the Institute of Mathematics of Jussieu</i>. 2022. doi:<a href="https://doi.org/10.1017/S1474748022000482">10.1017/S1474748022000482</a>
  apa: Derenthal, U., &#38; Wilsch, F. A. (2022). Integral points on singular del
    Pezzo surfaces. <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge
    University Press. <a href="https://doi.org/10.1017/S1474748022000482">https://doi.org/10.1017/S1474748022000482</a>
  chicago: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular
    Del Pezzo Surfaces.” <i>Journal of the Institute of Mathematics of Jussieu</i>.
    Cambridge University Press, 2022. <a href="https://doi.org/10.1017/S1474748022000482">https://doi.org/10.1017/S1474748022000482</a>.
  ieee: U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,”
    <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge University
    Press, 2022.
  ista: Derenthal U, Wilsch FA. 2022. Integral points on singular del Pezzo surfaces.
    Journal of the Institute of Mathematics of Jussieu.
  mla: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular
    Del Pezzo Surfaces.” <i>Journal of the Institute of Mathematics of Jussieu</i>,
    Cambridge University Press, 2022, doi:<a href="https://doi.org/10.1017/S1474748022000482">10.1017/S1474748022000482</a>.
  short: U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu
    (2022).
date_created: 2021-09-15T10:06:48Z
date_published: 2022-11-10T00:00:00Z
date_updated: 2023-08-02T06:55:10Z
day: '10'
department:
- _id: TiBr
doi: 10.1017/S1474748022000482
external_id:
  arxiv:
  - '2109.06778'
  isi:
  - '000881319200001'
isi: 1
keyword:
- Integral points
- del Pezzo surface
- universal torsor
- Manin’s conjecture
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1017/S1474748022000482
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P32428
  name: New frontiers of the Manin conjecture
publication: Journal of the Institute of Mathematics of Jussieu
publication_identifier:
  eissn:
  - '1475-3030 '
  issn:
  - 1474-7480
publication_status: epub_ahead
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Integral points on singular del Pezzo surfaces
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2022'
...