Failure of strong approximation on an affine cone

Author(s):
Bright, M.J. (0000-0002-9139-2614); Kok, I.
Published
2018
Publication type
Article / Letter to editor

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.

Brauer–Manin ObstructionStrong ApproximationQuadric Surfaces
Date issued
2018-10-08
Language
English
Publisher
Mathematical Sciences Publishers
Is part of
Involve, a Journal of Mathematics (2018), Vol. 12, no. 2, p. 321-327
hdl
1887/3239195
doi
10.2140/involve.2019.12.321
URL
https://msp.org/involve/2019/12-2/p08.xhtml