University of Utah (201 Presidents Cir, Salt Lake City, UT 84112 - États-Unis)
Abstract : 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-variety of complexity one, and we study the local fundamental group of a log terminal T-singularity with a good torus action and trivial GIT decomposition.
Antonio Laface, Alvaro Liendo, Joaquín Moraga. The fundamental group of a log terminal T-variety. European Journal of Mathematics, Springer, 2019, 5 (3), pp.937-957. ⟨10.1007/s40879-018-0296-z⟩. ⟨hal-02469023⟩