A $p$-adic Bertini theorem for unipotent local systems

Christopher Lazda

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arXiv · 1301.6073

A $p$-adic Bertini theorem for unipotent local systems

Christopher Lazda

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Abstract

In this short note we prove a version of Bertini's theorem for unipotent rigid fundamental groups, stating that for every smooth, projective, geometrically connected variety $X$ over an infinite perfect field $k$ of characteristic $p>0$, there exists a smooth, projective, geometrically connected curve $C\subset X$ such that the induced map on rigid fundamental groups is surjective.

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Christopher Lazda. 2013-01-25. A $p$-adic Bertini theorem for unipotent local systems. https://arxiv.org/abs/1301.6073

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