Finiteness of algebraic fundamental groups

Chenyang Xu

doi:10.1112/S0010437X13007562

Finiteness of algebraic fundamental groups

Chenyang Xu

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

52 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	409-414
Number of pages	6
Journal	Compositio Mathematica
Volume	150
Issue number	3
DOIs	https://doi.org/10.1112/S0010437X13007562
State	Published - Mar 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Kawamata log terminal
local fundamental group
log Fano

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10.1112/S0010437X13007562

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title = "Finiteness of algebraic fundamental groups",

abstract = "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 = "Kawamata log terminal, local fundamental group, log Fano",

author = "Chenyang Xu",

year = "2014",

month = mar,

doi = "10.1112/S0010437X13007562",

language = "English (US)",

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journal = "Compositio Mathematica",

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KW - log Fano

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JO - Compositio Mathematica

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Finiteness of algebraic fundamental groups

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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