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arXiv · 2305.09865

Non-abelian cohomology of universal curves in positive characteristic

Tatsunari Watanabe
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Abstract

In this paper, we will compute the non-abelian cohomology of the universal complete curve in positive characteristic. This extends Hain's result on the non-abelian cohomology of generic curves in characteristic zero to positive characteristics. Furthermore, we will prove that the exact sequence of etale fundamental groups of the universal n-punctured curve in positive characteristic does not split.

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Tatsunari Watanabe. 2023-05-17. Non-abelian cohomology of universal curves in positive characteristic. https://arxiv.org/abs/2305.09865

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