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A Rigidity Property for the Set of all Characters Induced by Valuations
If $K$ is a field and $G$ a finitely generated multiplicative subgroup of $K$ then every real valuation on $K$ induces a character $G \to {\mathbf {R}}$. It is known that the set $\Delta (G) \subseteq {{\mathbf {R}}^n}$ of all characters induced by valuations is polyhedral. We prove that $\Delta …