del Pezzo表面syz -纤化的复杂仿射结构

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Theoretical and Mathematical Physics Pub Date : 2023-06-30 DOI:10.4310/atmp.2022.v26.n6.a7

Siu-Cheong Lau, Tsung-Ju Lee, Yu-Shen Lin

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引用次数: 0

摘要

给定任意光滑三次曲线$E \subseteq \mathbb{P}^2$，证明了Collins-Jacob-Lin[12]构造的$\mathbb{P}^2 \: \反斜线\:E$的特殊lagrange纤维的复仿射结构与Carl-Pomperla-Siebert[15]构造镜面所用的仿射结构是一致的。此外，我们用Floer-theoretical glue method构造了一个浸入式lagrangian的镜面，结果与Carl-Pomperla-Siebert构造的镜面一致。

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On the complex affine structures of SYZ-fibration of del Pezzo surfaces

Given any smooth cubic curve $E \subseteq \mathbb{P}^2$, we show that the complex affine structure of the special Lagrangian fibration of $\mathbb{P}^2 \: \backslash \: E$ constructed by Collins–Jacob–Lin [12] coincides with the affine structure used in Carl–Pomperla–Siebert [15] 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.

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来源期刊

Advances in Theoretical and Mathematical Physics 物理-物理：粒子与场物理

CiteScore

2.20

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.