Logarithmic purity and logarithmic Nori fundamental group
Algebraic Geometry
2026-03-26 v1
Abstract
We generalize the logarithmic purity theorem of Fujiwara-Kato to torsors which arise in the Kummer log flat topology under finite flat linearly reductive group schemes. As an application, we construct the logarithmic Nori fundamental group of a log regular log scheme classifying those torsors, and compare it to classical Nori fundamental group and tame fundamental group.
Keywords
Cite
@article{arxiv.2603.23697,
title = {Logarithmic purity and logarithmic Nori fundamental group},
author = {Sara Mehidi},
journal= {arXiv preprint arXiv:2603.23697},
year = {2026}
}