Finiteness of \'etale fundamental groups by reduction modulo $p$
Algebraic Geometry
2017-05-23 v1
Abstract
We introduce a spreading out technique to deduce finiteness results for \'etale fundamental groups of complex varieties by characteristic methods, and apply this to recover a finiteness result proven recently for local fundamental groups in characteristic using birational geometry.
Cite
@article{arxiv.1705.07303,
title = {Finiteness of \'etale fundamental groups by reduction modulo $p$},
author = {Bhargav Bhatt and Ofer Gabber and Martin Olsson},
journal= {arXiv preprint arXiv:1705.07303},
year = {2017}
}
Comments
15 pages, comments welcome