Integral points on singular del Pezzo surfaces
Number Theory
2025-05-19 v2 Algebraic Geometry
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 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.
Cite
@article{arxiv.2109.06778,
title = {Integral points on singular del Pezzo surfaces},
author = {Ulrich Derenthal and Florian Wilsch},
journal= {arXiv preprint arXiv:2109.06778},
year = {2025}
}
Comments
28 pages, 4 figures; improvements in exposition, updated references; appeared in J. Inst. Math. Jussieu