The fundamental group of a log terminal T -variety

Antonio Laface; Alvaro Liendo; Joaquín Moraga

doi:10.1007/s40879-018-0296-z

The fundamental group of a log terminal T -variety

Antonio Laface, Alvaro Liendo, Joaquín Moraga

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 language	English (US)
Pages (from-to)	937-957
Number of pages	21
Journal	European Journal of Mathematics
Volume	5
Issue number	3
DOIs	https://doi.org/10.1007/s40879-018-0296-z
State	Published - Sep 15 2019

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Fundamental groups
T-varieties
Torus actions

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10.1007/s40879-018-0296-z

Cite this

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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.",

keywords = "Fundamental groups, T-varieties, Torus actions",

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T1 - The fundamental group of a log terminal T -variety

AU - Laface, Antonio

AU - Liendo, Alvaro

AU - Moraga, Joaquín

PY - 2019/9/15

Y1 - 2019/9/15

N2 - 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.

AB - 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.

KW - Fundamental groups

KW - T-varieties

KW - Torus actions

UR - https://www.scopus.com/pages/publications/85071048534

UR - https://www.scopus.com/inward/citedby.url?scp=85071048534&partnerID=8YFLogxK

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AN - SCOPUS:85071048534

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SP - 937

EP - 957

JO - European Journal of Mathematics

JF - European Journal of Mathematics

IS - 3

ER -

The fundamental group of a log terminal T -variety

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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