Resolution of quasi-homogeneous singularities and plurigenera
Resolution of quasi-homogeneous singularities and plurigenera
复制标题
准齐次奇点和多属的解析
作者：
M. Morales
.首先给出一个Cohen-Macaulay孤立的拟齐次奇点1，在Demazure工作的基础上描述了分解过程，推广了Orlik和Wagreich的一些结果。在使用这个解决方案的奇异性1明确计算的plurigenes Gorenstein准齐次奇异性的一个不变的称为指数的正则性的希尔伯特函数。在第二部分类似的计算给出了plurigenes的完整的相交奇点是通用的牛顿多面体的意义。证明需要作者在[7]中开发的显式归结过程。
. First given a Cohen-Macaulay isolated quasi-homogeneous singularity 1 describe the resolution process based on Demazure’s work and generalize some results of Orlik and Wagreich in dimension two. After using this resolution of singularities 1 calculate explicitly the plurigenera for a Gorenstein quasi-homogeneous singularity in terms of an invariant called index of regularity of the Hilbert function. In a second part similar calculations are given for plurigenera of complete intersection singularities which are generic in the Newton polyhedron sense. Proofs need the explicit resolution process developed by the author in [7].