$PSL_2$ tropicalization and lines on surfaces
Algebraic Geometry
2025-06-04 v2 Group Theory
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
Keywords
Cite
@article{arxiv.2503.10182,
title = {$PSL_2$ tropicalization and lines on surfaces},
author = {Mikhail Shkolnikov and Peter Petrov},
journal= {arXiv preprint arXiv:2503.10182},
year = {2025}
}
Comments
Final version edited according to referee's comments. To appear in Proceedings of 29th G\"okova Geometry-Toplogy Conference