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Tropicalization is a non-Archimedean analytic stack quotient

Tropicalization is a non-Archimedean analytic stack quotient

For a complex toric variety $X$ the logarithmic absolute value induces a natural retraction of $X$ onto the set of its non-negative points and this retraction can be identified with a quotient of $X(\mathbb{C})$ by its big real torus. We prove an analogous result in the non-Archimedean world: The Kajiwara-Payne …