Finiteness of algebraic fundamental groups

Finiteness of algebraic fundamental groups

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.

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Veröffentlicht in:Compositio mathematica 2014-03, Vol.150 (3), p.409-414
1. Verfasser: Xu, Chenyang
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Group theory
Mathematical analysis
Mathematical models
Singularities
Terminals
Topological manifolds
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Zusammenfassung: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.
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X13007562