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arXiv · 2312.07366

The tame Nori fundamental group

Indranil Biswas·Manish Kumar·A. J. Parameswaran
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Abstract

We introduce three notion of tameness of the Nori fundamental group scheme for a normal quasiprojective variety $X$ over an algebraically closed field. It is proved that these three notions agree if $X$ admits a smooth completion with strict normal crossing divisor as the complement. We also prove a Lefschetz type restriction theorem for the tame Nori fundamental group scheme for such an $X$.

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Indranil Biswas, Manish Kumar, A. J. Parameswaran. 2023-12-12. The tame Nori fundamental group. https://arxiv.org/abs/2312.07366

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