摘要翻译：
对于具有全纯n型基的一般型超曲面的单参数族，我们利用热带几何构造开覆盖。证明了归一化后，每一个全纯n型近似支持在一个唯一的开分量上，当参数变大时，这样的对与其全纯n型一起近似于一个Calabi-Yau超曲面。我们还证明了Mikhalkin构造的纤维中的拉格朗日纤维是渐近特殊拉格朗日纤维。由于全纯N型在Calabi-Yau流形的镜像对称性中起着重要作用，我们的结果为理解一般流形的镜像对称性迈出了一步。
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英文标题：
《Calabi-Yau components in general type hypersurfaces》
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作者：
Naichung Conan Leung and Tom Y.H. Wan
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最新提交年份：
2008
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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一级分类：Mathematics        数学
二级分类：Symplectic Geometry        辛几何
分类描述：Hamiltonian systems, symplectic flows, classical integrable systems
哈密顿系统，辛流，经典可积系统
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英文摘要：
  For a one-parameter family of general type hypersurfaces with bases of holomorphic n-forms, we construct open covers using tropical geometry. We show that after normalization, each holomorphic n-form is approximately supported on a unique open component and such a pair approximates a Calabi-Yau hypersurface together with its holomorphic n-form as the parameter becomes large. We also show that the Lagrangian fibers in the fibration constructed by Mikhalkin are asymptotically special Lagrangian. As the holomorphic n-form plays an important role in mirror symmetry for Calabi-Yau manifolds, our results is a step toward understanding mirror symmetry for general type manifolds.
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PDF链接：
https://arxiv.org/pdf/0807.1784