The fundamental group of a log terminal T -variety

Antonio Laface, Alvaro Liendo, Joaquín Moraga

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)937-957
Number of pages21
JournalEuropean Journal of Mathematics
Volume5
Issue number3
DOIs
StatePublished - Sep 15 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Fundamental groups
  • T-varieties
  • Torus actions

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