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arXiv · 2505.16617

Tropical limit of hyperbolic amoebas of complex analytic surfaces

Peter Petrov·Mikhail Shkolnikov
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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 $\operatorname{SL}_2(\mathbb{C})$ under the quotient by its maximal compact subgroup $\operatorname{SU}(2)$ subject to a contracting scaling sequence.

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Peter Petrov, Mikhail Shkolnikov. 2025-05-22. Tropical limit of hyperbolic amoebas of complex analytic surfaces. https://arxiv.org/abs/2505.16617

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