Counting rational points on the Cayley ruled cubic

R de la Breteche; Tim D Browning; P Salberger

doi:10.1007/s40879-015-0049-1

Counting rational points on the Cayley ruled cubic

R de la Breteche, Tim D Browning, P Salberger

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Abstract

We count rational points of bounded height on the Cayley ruled cubic surface and interpret the result in the context of general conjectures due to Batyrev and Tschinkel.

Original language	English
Pages (from-to)	55-72
Number of pages	18
Journal	European Journal of Mathematics
Volume	2
Issue number	1
Early online date	13 May 2015
DOIs	https://doi.org/10.1007/s40879-015-0049-1
Publication status	Published - Mar 2016

Keywords

Cayley cubic surface
Counting rational points
Heights
Ruled surface
11G35
11G50
14G05

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10.1007/s40879-015-0049-1

cayley-ruled
The final publication is available at Springer via http://dx.doi.org/10.1007/s40879-015-0049-1
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title = "Counting rational points on the Cayley ruled cubic",

abstract = "We count rational points of bounded height on the Cayley ruled cubic surface and interpret the result in the context of general conjectures due to Batyrev and Tschinkel.",

keywords = "Cayley cubic surface, Counting rational points, Heights, Ruled surface, 11G35, 11G50, 14G05",

author = "{de la Breteche}, R and Browning, {Tim D} and P Salberger",

year = "2016",

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AU - Browning, Tim D

AU - Salberger, P

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AB - We count rational points of bounded height on the Cayley ruled cubic surface and interpret the result in the context of general conjectures due to Batyrev and Tschinkel.

KW - Cayley cubic surface

KW - Counting rational points

KW - Heights

KW - Ruled surface

KW - 11G35

KW - 11G50

KW - 14G05

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DO - 10.1007/s40879-015-0049-1

M3 - Article (Academic Journal)

SN - 2199-675X

VL - 2

SP - 55

EP - 72

JO - European Journal of Mathematics

JF - European Journal of Mathematics

IS - 1

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Counting rational points on the Cayley ruled cubic

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