论文标题
Zariski的代数几何平衡性
Algebro-geometric equisingularity of Zariski
论文作者
论文摘要
这是一项关于Zariski方程性的调查。我们回想起其定义，主要特性以及代数几何学和奇异理论中的各种应用。在这项调查的第一部分中，我们考虑了Zariski的复杂分析或代数性超曲面的Zariski方程家庭。我们还讨论了如何构建Zariski方程变形。 在第二部分中，我们提出了沿非发挥子不同及其与其他方向性条件的关系的Zariski公平性。我们还讨论了维度类型给出的此类超曲面的规范分层。
This is a survey on Zariski equisingularity. We recall its definition, main properties, and a variety of applications in Algebraic Geometry and Singularity Theory. In the first part of this survey, we consider Zariski equisingular families of complex analytic or algebraic hypersurfaces. We also discuss how to construct Zariski equisingular deformations. In the second part, we present Zariski equisingularity of hypersurfaces along a nonsingular subvariety and its relation to other equisingularity conditions. We also discuss the canonical stratification of such hypersurfaces given by the dimensionality type.
