Integral points on singular del Pezzo surfaces

authored by

Ulrich Derenthal, Florian Wilsch

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics
Riemann Center for Geometry and Physics

External Organisation(s)

Institute of Science and Technology Austria

Type

Article

Journal

Journal of the Institute of Mathematics of Jussieu

No. of pages

36

ISSN

1474-7480

Publication date

10.11.2022

Publication status

E-pub ahead of print

Peer reviewed

Yes

Electronic version(s)

https://arxiv.org/abs/2109.06778 (Access: Open)
https://doi.org/10.1017/S1474748022000482 (Access: Open)