The tame Nori fundamental group

Bibliographic Details
Title: The tame Nori fundamental group
Authors: Biswas, Indranil, Kumar, Manish, Parameswaran, A. J.
Source: Journal of Algebra. 682:315-330
Publication Status: Preprint
Publisher Information: Elsevier BV, 2025.
Publication Year: 2025
Subject Terms: 14H30, 14J60, FOS: Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)
Description: 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 $X$.
13 pages. Final version. Major changes in Section 4. The main theorems remain unchanged
Document Type: Article
Language: English
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2025.06.006
DOI: 10.48550/arxiv.2312.07366
Access URL: http://arxiv.org/abs/2312.07366
Rights: Elsevier TDM
arXiv Non-Exclusive Distribution
Accession Number: edsair.doi.dedup.....5c313849985bf8c493eebfd580cef3cc
Database: OpenAIRE
Description
ISSN:00218693
DOI:10.1016/j.jalgebra.2025.06.006