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arXiv · 2109.06778

Integral points on singular del Pezzo surfaces

Ulrich Derenthal·Florian Wilsch
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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 $\mathbf{A}_1+\mathbf{A}_3$ and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.

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Ulrich Derenthal, Florian Wilsch. 2021-09-14. Integral points on singular del Pezzo surfaces. https://doi.org/10.1017/s1474748022000482

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