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Finiteness of algebraic fundamental groups

Part of: Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  10 March 2014

Chenyang Xu
Chenyang Xu*
Affiliation:
Beijing International Center of Mathematics Research, 5 Yiheyuan Road, Haidian District, Beijing 100871, China email cyxu@math.pku.edu.cn
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Abstract

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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.

Keywords

local fundamental grouplog FanoKawamata log terminal

MSC classification

Secondary: 14J17: Singularities 14J45: Fano varieties

Information

Type
Research Article
Information
Compositio Mathematica , Volume 150 , Issue 3 , March 2014 , pp. 409 - 414
Copyright
© The Author 2014 

References

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