Counting rational points on quartic del Pezzo surfaces with a rational conic

Sofos, Efthymios; Browning, T. D.

doi:10.1007/s00208-018-1716-6

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Journal Article

Counting rational points on quartic del Pezzo surfaces with a rational conic

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Sofos, Efthymios
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00208-018-1716-6
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Browning-Sofos_Counting Rational Points On Quartic del Pezzo Surfaces with a Rational Conic_2019.pdf
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Citation

Sofos, E., & Browning, T. D. (2019). Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen, 373(3-4), 977-1016. doi:10.1007/s00208-018-1716-6.

Cite as: https://hdl.handle.net/21.11116/0000-0004-40B2-A

Abstract

Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over Q that contains a conic defined over Q.