The fundamental group of a log terminal T-variety

Antonio Laface (1) , Alvaro Liendo (2) , Joaquín Moraga (3)

1 Universidad de Concepción - University of Concepcion [Chile]
2 Instituto de Matematica y Fisica
3 Department of Mathematics - University of Utah

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.

Mots clés: Torus actions; Fundamental groups; T-varieties

Domaines: Mathématiques [math]

Antonio Laface, Alvaro Liendo, Joaquín Moraga. The fundamental group of a log terminal T-variety. European Journal of Mathematics, 2019, 5 (3), pp.937-957. ⟨10.1007/s40879-018-0296-z⟩. ⟨hal-02469023⟩