Bruno Duchesne

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20182026

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math.MG2026

The variety of group actions on all algebraic real hyperbolic spaces

Bruno Duchesne, Christopher-Lloyd Simon

For a cardinal $κ$ , denote by $H^{κ}$ the algebraic real hyperbolic space of dimension $κ$ . For a topological group $Γ$ , we study the set of continuous representations $Γ\to…

math.MG2025

Hyperbolic Simplices of Maximal Inradius

Bruno Duchesne, Christopher-Lloyd Simon

For $n \in N$ , consider a hyperbolic $n$ -dimensional simplex $Δ$ , defined by $1 + n$ points in the compactified hyperbolic space $H^{n} ⊔ \partial H^{n}$ .…