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arXiv 1906.04500math.AG
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有理曲线的变形虫刺

Spines for amoebas of rational curves

Grigory Mikhalkin, Johannes Rau

摘要:

对于每一条有理复曲线$C \subset (\mathbf{C}^\times)^n$,我们关联一条有理回归曲线$Γ\subset \mathbf{R}^n$,使得$C$的变形虫$\mathcal{A}(C) \subset \mathbf{R}^n$在距离$Γ$有界的距离内。根据Passare和Rullgård介绍的术语,我们将$Γ$称为$\mathcal{A}(C)$的主干。我们用样条来描述有理复曲线序列的热带极限。

英文摘要:

To every rational complex curve $C \subset (\mathbf{C}^\times)^n$ we associate a rational tropical curve $Γ\subset \mathbf{R}^n$ so that the amoeba $\mathcal{A}(C) \subset \mathbf{R}^n$ of $C$ is within a bounded distance from $Γ$. In accordance with the terminology introduced by Passare and Rullgård, we call $Γ$ the spine of $\mathcal{A}(C)$. We use spines to describe tropical limits of sequences of rational complex curves.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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