Many cubic surfaces contain rational points

Tim Browning

doi:10.1112/S0025579317000195

Many cubic surfaces contain rational points

Tim Browning

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Abstract

Building on recent work of Bhargava-Elkies-Schnidman and Kriz-Li, we produce infinitely many smooth cubic surfaces defined over the field of rational numbers that contain rational points.

Original language	English
Journal	Mathematika
Volume	63
Issue number	3
Early online date	29 Nov 2017
DOIs	https://doi.org/10.1112/S0025579317000195
Publication status	Published - Dec 2017

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Cambridge University Press at https://www.cambridge.org/core/journals/mathematika/article/many-cubic-surfaces-contain-rational-points/C4FC4F0877DC5D05FAF2970037D09244 . Please refer to any applicable terms of use of the publisher.
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title = "Many cubic surfaces contain rational points",

abstract = "Building on recent work of Bhargava-Elkies-Schnidman and Kriz-Li, we produce infinitely many smooth cubic surfaces defined over the field of rational numbers that contain rational points.",

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Many cubic surfaces contain rational points

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