Fundamental groups of proper varieties are finitely presented

Marcin Lara; Vasudevan Srinivas; Jakob Stix

doi:10.5802/crmath.518

Fundamental groups of proper varieties are finitely presented

Marcin Lara
, Vasudevan Srinivas
, Jakob Stix

Mathematics

Jagiellonian University in Kraków
Goethe University Frankfurt

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

Abstract

It was proven in [1], that the étale fundamental group of a connected smooth projective variety over an algebraically closed field k is topologically finitely presented. In this note, we extend this result to all connected proper schemes over k.

Original language	English
Pages (from-to)	51-54
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	362
DOIs	https://doi.org/10.5802/crmath.518
State	Published - 2024

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title = "Fundamental groups of proper varieties are finitely presented",

abstract = "It was proven in [1], that the {\'e}tale fundamental group of a connected smooth projective variety over an algebraically closed field k is topologically finitely presented. In this note, we extend this result to all connected proper schemes over k.",

author = "Marcin Lara and Vasudevan Srinivas and Jakob Stix",

year = "2024",

doi = "10.5802/crmath.518",

language = "English",

volume = "362",

pages = "51--54",

journal = "Comptes Rendus Mathematique",

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AU - Lara, Marcin

AU - Srinivas, Vasudevan

AU - Stix, Jakob

PY - 2024

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N2 - It was proven in [1], that the étale fundamental group of a connected smooth projective variety over an algebraically closed field k is topologically finitely presented. In this note, we extend this result to all connected proper schemes over k.

AB - It was proven in [1], that the étale fundamental group of a connected smooth projective variety over an algebraically closed field k is topologically finitely presented. In this note, we extend this result to all connected proper schemes over k.

UR - https://www.scopus.com/pages/publications/85188215005

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DO - 10.5802/crmath.518

M3 - Article

AN - SCOPUS:85188215005

SN - 1631-073X

VL - 362

SP - 51

EP - 54

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

ER -

Fundamental groups of proper varieties are finitely presented

Abstract

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