Free deformations of hypersurface singularities
Free deformations of hypersurface singularities
复制标题
超曲面奇点的自由变形
DOI：
10.1007/s10958-011-0328-4
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
A. G. Aleksandrov and J. Sekiguchi
中科院分区：
文献类型：
--
作者：
Sekiguchi;Jiro;Yasushi Yamashita;南 範彦;A. G. Aleksandrov and J. Sekiguchi
本文利用簇的变形理论研究了Saito自由因子的分类问题。特别地，在拟齐次情形下，我们描述了一种计算拟光滑簇上拟圆锥自由变形的方法，该方法是基于有作用力的簇的变形的性质。我们还讨论了一些应用，包括模空间的紧化问题和某些简单、单峰和单模奇点的自由变形的计算。
The article is devoted to the study of the classification problem for Saito free divisors making use of the deformation theory of varieties. In particular, in the quasihomogeneous case, we describe an approach for computation of free deformations of quasicones over quasismooth varieties based on properties of deformations of varieties with-action. We also discuss some applications including the problem of compactification of modular spaces and computation of free deformations for certain simple, unimodal, and unimodular singularities.