论文标题
关于Del Pezzo表面的SYZ纤维的复杂仿射结构
On the Complex Affine Structures of SYZ Fibration of Del Pezzo Surfaces
论文作者
论文摘要
给定任何平滑的立方曲线$ e \ subseteq \ mathbb {p}^2 $，我们表明，$ \ mathbb {p}^2 \ setMinus e $的特殊拉格朗日纤维结构的复杂仿射结构是由Collins-jacob-lin Arxiv：1904.08363-colla in carla in carla colla in carla colla in colla in-setminus e $ 镜子。此外，我们使用漂浮的理论胶合方法使用沉浸的拉格朗日人来构造镜子，这表明与卡尔 - 帕佩拉 - 塞伯特（Carl-Pomperla-Siebert）构建的镜子一致。
Given any smooth cubic curve $E\subseteq \mathbb{P}^2$, we show that the complex affine structure of the special Lagrangian fibration of $\mathbb{P}^2\setminus E$ constructed by Collins--Jacob--Lin arXiv:1904.08363 coincides with the affine structure used in Carl--Pomperla--Siebert for constructing mirror. Moreover, we use the Floer-theoretical gluing method to construct a mirror using immersed Lagrangians, which is shown to agree with the mirror constructed by Carl--Pomperla--Siebert.
