Involve: A Journal of Mathematics
- Volume 12, Number 2 (2019), 321-327.
Failure of strong approximation on an affine cone
We use the Brauer–Manin obstruction to strong approximation on a punctured affine cone to explain why some mod solutions to a homogeneous Diophantine equation of degree cannot be lifted to coprime integer solutions.
Involve, Volume 12, Number 2 (2019), 321-327.
Received: 27 November 2017
Revised: 29 January 2018
Accepted: 13 March 2018
First available in Project Euclid: 25 October 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 11G35: Varieties over global fields [See also 14G25]
Secondary: 14G25: Global ground fields 14F22: Brauer groups of schemes [See also 12G05, 16K50] 11D09: Quadratic and bilinear equations
Bright, Martin; Kok, Ivo. Failure of strong approximation on an affine cone. Involve 12 (2019), no. 2, 321--327. doi:10.2140/involve.2019.12.321. https://projecteuclid.org/euclid.involve/1540432920