论文标题
Landau-Ginzburg模型的热带观点
A tropical view on Landau-Ginzburg models
论文作者
论文摘要
本文主要于2009/2010年撰写，将Landau-Ginzburg模型纳入了镜像对称计划，由上一位作者与Mark Gross自2001年以来共同撰写。这种观点透明地透明了Maslov Index 2的热带磁盘，通过Mark Gross在Mark Gross中的两个尺寸中引入了Mark Gross syere someys of Marrifermetry $ $ pp pp $ n $ $ c。 一个主要的见解是兰道木堡潜力的等效性与镜子侧的反典型除数的平稳性。我们获得了适当的超电势，这些超接电位与以复要的品种而闻名的那些开放零件一致。示例包括镜子LG模型，用于非单星和奇异的Del Pezzo表面，Hirzebruch表面和一些Fano三倍。
This paper, largely written in 2009/2010, fits Landau-Ginzburg models into the mirror symmetry program pursued by the last author jointly with Mark Gross since 2001. This point of view transparently brings in tropical disks of Maslov index 2 via the notion of broken lines, previously introduced in two dimensions by Mark Gross in his study of mirror symmetry for $\mathbb{P}^2$. A major insight is the equivalence of properness of the Landau-Ginzburg potential with smoothness of the anticanonical divisor on the mirror side. We obtain proper superpotentials which agree on an open part with those classically known for toric varieties. Examples include mirror LG models for non-singular and singular del Pezzo surfaces, Hirzebruch surfaces and some Fano threefolds.
