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

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

Abstract

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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del Pezzo表面syz -纤化的复杂仿射结构
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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来源期刊
Advances in Theoretical and Mathematical Physics
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
0
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.
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