Details
| Original language | English |
|---|---|
| Pages (from-to) | 1259-1294 |
| Number of pages | 36 |
| Journal | Journal of the Institute of Mathematics of Jussieu |
| Volume | 23 |
| Issue number | 3 |
| Early online date | 10 Nov 2022 |
| Publication status | Published - May 2024 |
Abstract
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In: Journal of the Institute of Mathematics of Jussieu, Vol. 23, No. 3, 05.2024, p. 1259-1294.
Research output: Contribution to journal › Article › Research › peer review
}
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 -