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

页码：6283 / 6313

页数：31

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