Tropical limit of hyperbolic amoebas of complex analytic surfaces
Algebraic Geometry
2025-05-23 v1 Complex Variables
Group Theory
Metric Geometry
Abstract
In this letter, we establish a general fact about the convergence of images of families of closed analytic surfaces in the special linear group under the quotient by its maximal compact subgroup subject to a contracting scaling sequence.
Keywords
Cite
@article{arxiv.2505.16617,
title = {Tropical limit of hyperbolic amoebas of complex analytic surfaces},
author = {Peter Petrov and Mikhail Shkolnikov},
journal= {arXiv preprint arXiv:2505.16617},
year = {2025}
}