The tame Nori fundamental group

Indranil Biswas; Manish Kumar; A. J. Parameswaran

The tame Nori fundamental group

Algebraic Geometry 2025-06-16 v2

Authors: Indranil Biswas , Manish Kumar , A. J. Parameswaran

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 $X$ .

Keywords

tame Nori fundamental group fundamental group scheme normal quasiprojective variety smooth completion Lefschetz type restriction theorem

Cite

@article{arxiv.2312.07366,
  title  = {The tame Nori fundamental group},
  author = {Indranil Biswas and Manish Kumar and A. J. Parameswaran},
  journal= {arXiv preprint arXiv:2312.07366},
  year   = {2025}
}

Comments

13 pages. Final version. Major changes in Section 4. The main theorems remain unchanged

The tame Nori fundamental group

Abstract

Keywords

Cite

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