Integral points on singular del Pezzo surfaces

Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. arXiv, 2109.06778.

Preprint | Submitted | English
Author
Derenthal, Ulrich; Wilsch, FlorianIST Austria
Department
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 A1 + A3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.
Publishing Year
Date Published
2021-09-14
Journal Title
arXiv
Acknowledgement
The first author was partly supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft. The second author was partly supported by FWF grant P 32428-N35 and conducted part of this work as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.
Article Number
2109.06778
IST-REx-ID

Cite this

Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. arXiv.
Derenthal, U., & Wilsch, F. A. (n.d.). Integral points on singular del Pezzo surfaces. arXiv.
Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” ArXiv, n.d.
U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,” arXiv. .
Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. arXiv, 2109.06778.
Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” ArXiv, 2109.06778.
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