标题： 简介到$PSL_2$相位热带化 显示英文标题

标题： Introduction to $PSL_2$ phase tropicalization

摘要： 通常处理热带几何的方法是通过代数环面 $(\mathbb{C}^*)^n$的代数子簇的退化。 一个阿莫巴是忽略坐标的角度部分（称为相位）的该流形的对数投影。 可以不忽略相位进行类似的退化。 然后这种极限被称为相位热带流形，它在许多领域是一个强大的工具。 文章中描述了矩阵群 $PSL_2(\mathbb{C})$的最简单情况下的非交换相位热带化的版本，在经典方法中这里替换了 $(\mathbb{C}^*)^n$。 显示英文摘要

摘要： The usual approach to tropical geometry is via degeneration of amoebas of algebraic subvarieties of an algebraic torus $(\mathbb{C}^*)^n$. An amoeba is logarithmic projection of the variety forgetting the angular part of coordinates, called the phase. Similar degeneration can be performed without ignoring the phase. The limit then is called phase tropical variety, and it is a powerful tool in numerous areas. In the article is described a non-commutative version of phase tropicalization in the simplest case of the matrix group $PSL_2(\mathbb{C})$, replacing here $(\mathbb{C}^*)^n$ in the classical approach.