论文标题
镜子曲线的热带化在大半径限制附近
Tropicalization of the mirror curve near the large radius limit
论文作者
论文摘要
圆环孔的镜子是一种称为镜曲线的仿射曲线。在本文中，首先，我们回想起热带几何形状中的基本工具，并给出了镜曲线的定义。然后，我们计算镜曲线的热带脊柱，以在较大半径限制附近3倍光滑的曲曲面calabi-yau。最后，我们回想起一种特殊的真实代数曲线，称为Cyclic-M曲线，并表明在大半径极限附近的某些特殊参数选择下，镜曲线是环状M曲线。应用Mikhalkin的循环-m曲线结果，我们表明镜曲线是从管子和一对裤子上粘合的。
The mirror of a toric orbifold is an affine curve called the mirror curve. In this paper, firstly, we recall the basic tools in tropical geometry and give a definition of the mirror curve. Then we calculate the tropical spine of the mirror curve for a smooth toric Calabi-Yau 3-fold near the large radius limit. Finally, we recall a special kind of real algebraic curves called the cyclic-M curve and show that under some special choices of parameters near the large radius limit, the mirror curve is a cyclic-M curve. Applying Mikhalkin's result of cyclic-M curves, we show that the mirror curve is glued from tubes and pairs of pants.
