Finiteness of algebraic fundamental groups

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We show that the algebraic local fundamental group of any Kawamata log terminal singularity as well as the algebraic fundamental group of the smooth locus of any log Fano variety are finite.

Original languageEnglish (US)
Pages (from-to)409-414
Number of pages6
JournalCompositio Mathematica
Issue number3
StatePublished - Mar 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


  • Kawamata log terminal
  • local fundamental group
  • log Fano


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