Spines for amoebas of rational curves
Autor: | Johannes Rau, Grigory Mikhalkin |
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Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: | |
Popis: | To every rational complex curve $C \subset (\mathbf{C}^\times)^n$ we associate a rational tropical curve $\Gamma \subset \mathbf{R}^n$ so that the amoeba $\mathcal{A}(C) \subset \mathbf{R}^n$ of $C$ is within a bounded distance from $\Gamma$. In accordance with the terminology introduced by Passare and Rullg{\aa}rd, we call $\Gamma$ the spine of $\mathcal{A}(C)$. We use spines to describe tropical limits of sequences of rational complex curves. Comment: 17 pages, 4 figures |
Databáze: | OpenAIRE |
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