Tropical limit of hyperbolic amoebas of complex analytic surfaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910962150277120 |
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| author | Petrov, Peter Shkolnikov, Mikhail |
| author_facet | Petrov, Peter Shkolnikov, Mikhail |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16617 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tropical limit of hyperbolic amoebas of complex analytic surfaces Petrov, Peter Shkolnikov, Mikhail Algebraic Geometry Complex Variables Group Theory Metric Geometry 14T10, 14T20, 14L35, 14T90, 14H10 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. |
| title | Tropical limit of hyperbolic amoebas of complex analytic surfaces |
| topic | Algebraic Geometry Complex Variables Group Theory Metric Geometry 14T10, 14T20, 14L35, 14T90, 14H10 |
| url | https://arxiv.org/abs/2505.16617 |