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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
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Abstract |
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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. |
Keywords
Brauer–Manin obstruction, integral points, strong
approximation
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Mathematical Subject Classification 2010
Primary: 11G35
Secondary: 14G25, 14F22, 11D09
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Milestones
Received: 27 November 2017
Revised: 29 January 2018
Accepted: 13 March 2018
Published: 8 October 2018
Communicated by Bjorn Poonen
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Authors |
| Martin Bright | |
| Mathematisch Instituut Universiteit Leiden Leiden Netherlands |
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| Ivo Kok | |
| Mathematisch Instituut Universiteit Leiden Leiden Netherlands |
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