Finiteness of fundamental groups

Zhiyu Tian, Chenyang Xu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We show that the finiteness of the fundamental groups of the smooth locus of lower dimensional log Fano pairs would imply the finiteness of the local fundamental group of Kawamata log terminal (klt) singularities. As an application, we verify that the local fundamental group of a three-dimensional klt singularity and the fundamental group of the smooth locus of a three-dimensional Fano variety with canonical singularities are always finite.

Original languageEnglish (US)
Pages (from-to)257-273
Number of pages17
JournalCompositio Mathematica
Volume153
Issue number2
DOIs
StatePublished - Feb 1 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Fano variety
  • Kawamata log terminal singularity
  • fundamental group

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