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$PSL_2$ tropicalization and lines on surfaces
Published 13 Mar 2025 in math.AG and math.GR | (2503.10182v2)
Abstract: The paper is based on a talk given by the first author at the G\"okova Geometry & Topology conference in May 2024. The subject is an interplay between the ideas of tropical geometry and two-by-two matrices with an intention to explore new types of geometries. More concretely, the article gives a preliminary account for a non-abelian version of phase tropicalization for subvarieties of $PSL_2.$
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