On the Geometric Subgroups of the Étale Fundamental Groups of Varieties over Real Closed Fields

In the present paper, we establish a “group-theoretic” algorithm for reconstructing, from the étale fundamental group of a suitable proper normal variety over a real closed field, the geometric subgroup of the étale fundamental group of the proper normal variety.

Saved in:
Bibliographic Details
Published in:Mathematische Zeitschrift 2021-06, Vol.298 (1-2), p.215-229
Main Authors: Hoshi, Yuichiro, Murotani, Takahiro, Tsujimura, Shota
Format: Article
Language:English
Subjects:
Algorithms
Mathematics
Mathematics and Statistics
Subgroups
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In the present paper, we establish a “group-theoretic” algorithm for reconstructing, from the étale fundamental group of a suitable proper normal variety over a real closed field, the geometric subgroup of the étale fundamental group of the proper normal variety.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-020-02593-7