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arxiv: 1308.2692 · v1 · pith:C43PNTGHnew · submitted 2013-08-12 · 🧮 math.GR · math.AG

On the character varieties of finitely generated groups

classification 🧮 math.GR math.AG
keywords characterfinitelygeneratedgroupsvarietiesvarietyaddressesaffine
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We establish three results dealing with the character varieties of finitely generated groups. The first two are concerned with the behavior of $\dim X_n(\Gamma)$ as a function of $n$, and the third addresses the problem of realizing a $\mathbb{Q}$-defined complex affine algebraic variety as a character variety.

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