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Pré-Publication, Document De Travail Année : 2022

THE SCHEME OF CHARACTERS IN SL 2

Résumé

The aim of this article is to study the SL(2,C)-character scheme of a finitely generated group. Given a presentation of a finitely generated group Γ, we give equations defining the coordinate ring of the scheme of SL(2,C)-characters of Γ (finitely many equations when Γ is finitely presented). We also study the scheme of abelian and nonsimple representations and characters. Finally we apply our results to study the SL(2,C)-character scheme of the Borromean rings.
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Dates et versions

hal-03828027 , version 1 (25-10-2022)
hal-03828027 , version 2 (01-03-2023)

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Michael Heusener, Joan Porti. THE SCHEME OF CHARACTERS IN SL 2. 2022. ⟨hal-03828027v1⟩
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