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

Preprint

Publication date

14.09.2021

Publication status

E-pub ahead of print

Electronic version(s)

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