On the fundamental group scheme of rationally chain connected varieties
Algebraic Geometry
2015-05-22 v2
Abstract
Let be an algebraically closed field. Chambert-Loir proved that the \'etale fundamental group of a normal rationally chain connected variety over is finite. We prove that the fundamental group scheme of a normal rationally chain connected variety over is finite and \'etale. In particular, the fundamental group scheme of a Fano variety is finite and \'etale.
Keywords
Cite
@article{arxiv.1410.1166,
title = {On the fundamental group scheme of rationally chain connected varieties},
author = {Marco Antei and Indranil Biswas},
journal= {arXiv preprint arXiv:1410.1166},
year = {2015}
}
Comments
Final version in International Mathematics Research Notices, 2015