Integral points on singular del Pezzo surfaces

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

Externe Organisationen

  • Institute of Science and Technology Austria
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)1259-1294
Seitenumfang36
FachzeitschriftJournal of the Institute of Mathematics of Jussieu
Jahrgang23
Ausgabenummer3
Frühes Online-Datum10 Nov. 2022
PublikationsstatusVeröffentlicht - Mai 2024

Abstract

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 A_1+A_3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.

ASJC Scopus Sachgebiete

Zitieren

Integral points on singular del Pezzo surfaces. / Derenthal, Ulrich; Wilsch, Florian.
in: Journal of the Institute of Mathematics of Jussieu, Jahrgang 23, Nr. 3, 05.2024, S. 1259-1294.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Derenthal U, Wilsch F. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 2024 Mai;23(3):1259-1294. Epub 2022 Nov 10. doi: 10.1017/S1474748022000482
Download
@article{0c4e202a1c774a5e90c4239fcb706955,
title = "Integral points on singular del Pezzo surfaces",
abstract = "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 A_1+A_3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.",
keywords = "11D45 11G35 14G05 14J26",
author = "Ulrich Derenthal and Florian Wilsch",
note = "Publisher Copyright: {\textcopyright} The Author(s), 2022. Published by Cambridge University Press.",
year = "2024",
month = may,
doi = "10.1017/S1474748022000482",
language = "English",
volume = "23",
pages = "1259--1294",
journal = "Journal of the Institute of Mathematics of Jussieu",
issn = "1474-7480",
publisher = "Cambridge University Press",
number = "3",

}

Download

TY - JOUR

T1 - Integral points on singular del Pezzo surfaces

AU - Derenthal, Ulrich

AU - Wilsch, Florian

N1 - Publisher Copyright: © The Author(s), 2022. Published by Cambridge University Press.

PY - 2024/5

Y1 - 2024/5

N2 - 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 A_1+A_3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.

AB - 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 A_1+A_3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.

KW - 11D45 11G35 14G05 14J26

UR - http://www.scopus.com/inward/record.url?scp=85193351917&partnerID=8YFLogxK

U2 - 10.1017/S1474748022000482

DO - 10.1017/S1474748022000482

M3 - Article

VL - 23

SP - 1259

EP - 1294

JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

SN - 1474-7480

IS - 3

ER -

Von denselben Autoren