论文标题
在Lipschitz上通常嵌入复杂的表面细菌
On Lipschitz Normally Embedded complex surface germs
论文作者
论文摘要
我们对Lipschitz的系统研究通常嵌入了正常的复杂表面细菌。我们特别证明，这种细菌的拓扑类型决定了其最低分辨率的组合，这些分辨率是通过爆炸的最大理想和其NASH变换以及极地曲线和通用平面投影的判别曲线的因素，从而使Spivakovsky和Bondil的概括性曲线概括为最小的表面表面象征。在附录中，我们给出了一个通常嵌入表面奇异性的Lipschitz的新示例。
We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. We prove in particular that the topological type of such a germ determines the combinatorics of its minimal resolution which factors through the blowup of its maximal ideal and through its Nash transform, as well as the polar curve and the discriminant curve of a generic plane projection, thus generalizing results of Spivakovsky and Bondil that were known for minimal surface singularities. In an appendix, we give a new example of a Lipschitz Normally Embedded surface singularity.
