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The
$\mathbb{Z}/p$ metabelian birational 
$p$-adic section conjecture for varieties
- Part of
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- Journal:
- Compositio Mathematica / Volume 153 / Issue 7 / July 2017
- Published online by Cambridge University Press:
- 04 May 2017, pp. 1433-1445
- Print publication:
- July 2017
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- Article
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We generalize the
$\mathbb{Z}/p$metabelian birational 
$p$-adic section conjecture for curves, as introduced and proved in Pop [On the birational
$p$-adic section conjecture, Compos. Math. 146 (2010), 621–637], to all complete smooth varieties, provided 
$p>2$. The condition 
$p>2$ seems to be of technical nature only, and might be removable.
