Vol. 12, No. 2, 2019

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 6, 901–1080
Issue 5, 721–899
Issue 4, 541–720
Issue 3, 361–539
Issue 2, 181–360
Issue 1, 1–180

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editors’ Interests
Scientific Advantages
Submission Guidelines
Submission Form
Ethics Statement
Editorial Login
Author Index
Coming Soon
Contacts
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Other MSP Journals
Failure of strong approximation on an affine cone

Martin Bright and Ivo Kok

Vol. 12 (2019), No. 2, 321–327
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.

Keywords
Brauer–Manin obstruction, integral points, strong approximation
Mathematical Subject Classification 2010
Primary: 11G35
Secondary: 14G25, 14F22, 11D09
Milestones
Received: 27 November 2017
Revised: 29 January 2018
Accepted: 13 March 2018
Published: 8 October 2018

Communicated by Bjorn Poonen
Authors
Martin Bright
Mathematisch Instituut
Universiteit Leiden
Leiden
Netherlands
Ivo Kok
Mathematisch Instituut
Universiteit Leiden
Leiden
Netherlands