摘要翻译：
本文给出了Fujiki类$\Mathcal C$中全纯拉格朗日纤维的广义奇异纤维的Kodaira型分类。我们的方法是基于判别超曲面的特征向量场的研究，这种特征向量场是由超曲面的定义方程通过辛形式自然产生的。作为应用，我们证明了判别超曲面的特征叶是有理曲线或光滑椭圆曲线的代数叶。
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英文标题：
《Characteristic foliation on the discriminantal hypersurface of a
  holomorphic Lagrangian fibration》
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作者：
Jun-Muk Hwang and Keiji Oguiso
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最新提交年份：
2007
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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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英文摘要：
  We give a Kodaira-type classification of general singular fibers of a holomorphic Lagrangian fibration in Fujiki's class $\mathcal C$. Our approach is based on the study of the characteristic vector field of the discriminantal hypersurface, which naturally arises from the defining equation of the hypersurface via the symplectic form. As an application, we show that the characteristic foliation of the discriminantal hypersurface has algebraic leaves which are either rational curves or smooth elliptic curves.
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PDF链接：
https://arxiv.org/pdf/0710.2376