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arXiv · 2503.10182

$PSL_2$ tropicalization and lines on surfaces

Mikhail Shkolnikov·Peter Petrov
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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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Mikhail Shkolnikov, Peter Petrov. 2025-03-13. $PSL_2$ tropicalization and lines on surfaces. https://arxiv.org/abs/2503.10182

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