THE SCHEME OF CHARACTERS IN SL2

被引：0
|
作者：
Heusener, Michael [1 ]
Porti, Joan [2 ,3 ]
机构：
[1] Univ CLERMONT AUVERGNE, CNRS, Lab Math BLAISE PASCAL, FERRAND, F-63000 Clermont ferrand, France
[2] Univ Autonoma Barcelona, Dept Matematiques, CERDA, Barcelona 08193, Spain
[3] Ctr Recerca Matemat Crm, Barcelona, Spain
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 376卷 / 09期
关键词：
Representation variety; character variety; CONE STRUCTURES; REPRESENTATIONS; VARIETIES;
D O I：
10.1090/tran/8910
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this article is to study the SL2(C)-character scheme of a finitely generated group. Given a presentation of a finitely generated group I', we give equations defining the coordinate ring of the scheme of SL2(C)- characters of I' (finitely many equations when I' is finitely presented). We also study the scheme of abelian and non-simple representations and characters. Finally we apply our results to study the SL2(C)-character scheme of the Borromean rings.
引用
收藏
页码：6283 / 6313
页数：31
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