Fundamental group of log terminal T-varieties

Antonio Laface; Alvaro Liendo; Joaquín Moraga

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arXiv · 1712.02172

Fundamental group of log terminal T-varieties

Antonio Laface·Alvaro Liendo·Joaquín Moraga

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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.

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BibTeX RIS

Antonio Laface, Alvaro Liendo, Joaquín Moraga. 2018-05-31. Fundamental group of log terminal T-varieties. https://arxiv.org/abs/1712.02172

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