Fundamental group of log terminal T-varieties
Algebraic Geometry
2018-06-01 v2
Abstract
In this article, we introduce an approach to study the fundamental group of a log terminal T-variety. As applications, we prove the simply connectedness of the spectrum of the Cox ring of a complex Fano variety, we compute the fundamental group of a rational log terminal T-varieties of complexity one, and we study the local fundamental group of log terminal T-singularities with a good torus action and trivial GIT decomposition.
Keywords
Cite
@article{arxiv.1712.02172,
title = {Fundamental group of log terminal T-varieties},
author = {Antonio Laface and Alvaro Liendo and Joaquín Moraga},
journal= {arXiv preprint arXiv:1712.02172},
year = {2018}
}
Comments
A mistake in the main theorem pointed by J\'anos Koll\'ar and Chenyang Xu is corrected