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MANY CUBIC SURFACES CONTAIN RATIONAL POINTS

Part of: Arithmetic algebraic geometry Arithmetic problems. Diophantine geometry

Published online by Cambridge University Press:  29 November 2017

T. D. Browning
T. D. Browning*
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW, U.K. email t.d.browning@bristol.ac.uk
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Abstract

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

MSC classification

Primary: 14G05: Rational points
Secondary: 11G05: Elliptic curves over global fields 11G35: Varieties over global fields 14G25: Global ground fields

Information

Type
Research Article
Information
Mathematika , Volume 63 , Issue 3 , 2017 , pp. 818 - 839
Copyright
Copyright © University College London 2017 

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