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Descent obstructions and Brauer–Manin obstruction in positive characteristic
Published online by Cambridge University Press: 01 June 2012
Abstract
We prove that the Brauer–Manin obstruction is the only obstruction to the existence of integral points on affine varieties over global fields of positive characteristic $p$. More precisely, we show that the only obstructions come from étale covers of exponent $p$ or, alternatively, from flat covers coming from torsors under connected group schemes of exponent $p$.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 12 , Issue 3 , July 2013 , pp. 545 - 551
- Copyright
- ©Cambridge University Press 2012
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