COORDINATE RINGS OF SOME SL2-CHARACTER VARIETIES

被引：0
|
作者：
Munoz, Vicente [1 ]
Ovejero, Jesus Martin [2 ]
机构：
[1] Univ Malaga, Fac Ciencias, Dept Algebra Geometria Topol, Campus Teatinos S-N, Malaga 29071, Spain
[2] Univ Salamanca, Fac Ciencias, Dept Matemat, Plaza Merced 1, Salamanca 37008, Spain
来源：
REVISTA DE LA UNION MATEMATICA ARGENTINA | 2024年 / 67卷 / 01期
关键词：
Characters; representations; trace of matrix; C)-CHARACTER VARIETIES; CHARACTER VARIETIES; E-POLYNOMIALS; SL(2; REPRESENTATIONS; CURVES;
D O I：
10.33044/revuma.3192
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We determine generators of the coordinate ring of SL 2 -character varieties. In the case of the free group F 3 we obtain an explicit equation of the SL 2 -character variety. For free groups F k , we find transcendental generators. Finally, for the case of the 2 -torus, we get an explicit equation of the SL 2 - character variety and use the description to compute their E -polynomials.
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页码：47 / 64
页数：18
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