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2019 Failure of strong approximation on an affine cone
Martin Bright, Ivo Kok
Involve 12(2): 321-327 (2019). DOI: 10.2140/involve.2019.12.321

Abstract

We use the Brauer–Manin obstruction to strong approximation on a punctured affine cone to explain why some mod p solutions to a homogeneous Diophantine equation of degree 2 cannot be lifted to coprime integer solutions.

Citation

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Martin Bright. Ivo Kok. "Failure of strong approximation on an affine cone." Involve 12 (2) 321 - 327, 2019. https://doi.org/10.2140/involve.2019.12.321

Information

Received: 27 November 2017; Revised: 29 January 2018; Accepted: 13 March 2018; Published: 2019
First available in Project Euclid: 25 October 2018

zbMATH: 06980504
MathSciNet: MR3864220
Digital Object Identifier: 10.2140/involve.2019.12.321

Subjects:
Primary: 11G35
Secondary: 11D09 , 14F22 , 14G25

Keywords: Brauer–Manin obstruction , Integral points , strong approximation

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.12 • No. 2 • 2019
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