$PSL_2$ tropicalization and lines on surfaces

Fuente: arXiv
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Autores principales: Shkolnikov, Mikhail, Petrov, Peter
Formato: Preprint
Publicado: 2025
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author Shkolnikov, Mikhail
Petrov, Peter
author_facet Shkolnikov, Mikhail
Petrov, Peter
contents The paper is based on a talk given by the first author at the Gökova 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 $PSL_2.$
format Preprint
id arxiv_https___arxiv_org_abs_2503_10182
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $PSL_2$ tropicalization and lines on surfaces
Shkolnikov, Mikhail
Petrov, Peter
Algebraic Geometry
Group Theory
14T10, 14T20, 14L35, 14T90, 14H10
The paper is based on a talk given by the first author at the Gökova 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 $PSL_2.$
title $PSL_2$ tropicalization and lines on surfaces
topic Algebraic Geometry
Group Theory
14T10, 14T20, 14L35, 14T90, 14H10
url https://arxiv.org/abs/2503.10182