Integral points of bounded height on quintic del Pezzo surfaces over number fields
Number Theory
2025-05-16 v1 Algebraic Geometry
Abstract
We prove an asymptotic formula for the number of integral points of bounded log-anticanonical height on split smooth quintic del Pezzo surfaces over number fields, with respect to one of the lines as the boundary divisor.
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Cite
@article{arxiv.2505.10077,
title = {Integral points of bounded height on quintic del Pezzo surfaces over number fields},
author = {Christian Bernert and Ulrich Derenthal},
journal= {arXiv preprint arXiv:2505.10077},
year = {2025}
}
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25 pages