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arXiv · 1508.04950

An Extension of Nori Fundamental Group

Shusuke Otabe
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Abstract

In this paper, we study a certain extension of Nori's fundamental group in the case where a base field is of characteristic 0 and give structure theorems about it. As a result, for a smooth projective curve with genus $g$>1, we prove that Nori's fundamental group acts faithfully on the category of unipotent bundles on the universal covering. In the case when $g=1$, we give a more finer result.

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Shusuke Otabe. 2015-08-20. An Extension of Nori Fundamental Group. https://doi.org/10.1080/00927872.2016.1236936

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