On homotopy exact sequences for normal schemes
Number Theory
2021-11-04 v4
Abstract
Consider a morphism between connected locally Noetherian normal schemes. In this paper, we discuss when the sequence of the etale fundamental groups associated to the morphism is exact. Moreover, we give a characterization of when the kernel of the induced homomorphism between their fundamental groups is topologically finitely generated, for the morphism from a smooth variety to a smooth curve.
Cite
@article{arxiv.1811.11395,
title = {On homotopy exact sequences for normal schemes},
author = {Ippei Nagamachi},
journal= {arXiv preprint arXiv:1811.11395},
year = {2021}
}
Comments
20 pages