Numerical control over complex analytic singularities
Numerical control over complex analytic singularities
复制标题
对复杂分析奇点的数值控制
DOI：
10.1090/memo/0778
复制
发表时间：
2003
影响因子：
1.9
通讯作者：
D. Massey
中科院分区：
文献类型：
--
作者：
D. Massey
概述第一部分代数初论：间隙轮系和Vogel循环：介绍间隙轮系间隙循环和Vogel循环Le圈和超曲面奇点：介绍定义和基本性质基本例子Milnor纤维的A柄分解广义Le- iomdine公式Le数和超平面排列Thom's $a_f$条件对准奇点悬浮奇点Milnor纤支的常数Le圈的另一种表征第三部分。奇异空间上函数的孤立临界点：导论临界亚元相对极曲线代数与拓扑观点之间的联系反常束的特例Thom’s $a_f$条件可构造复合体的连续族第四部分奇异空间上函数的非孤立临界点Le-Vogel循环Le-Iomdine公式和Thom’s条件Le-Vogel循环和Euler特征附录a解析循环和交集附录b派生范畴附录c特权邻域和提升Milnor振动参考文献索引。
Overview Part I. Algebraic Preliminaries: Gap Sheaves and Vogel Cycles: Introduction Gap sheaves Gap cycles and Vogel cycles The Le-Iomdine-Vogel formulas Summary of Part I Part II. Le Cycles and Hypersurface Singularities: Introduction Definitions and basic properties Elementary examples A handle decomposition of the Milnor fibre Generalized Le-Iomdine formulas Le numbers and hyperplane arrangements Thom's $a_f$ condition Aligned singularities Suspending singularities Constancy of the Milnor fibrations Another characterization of the Le cycles Part III. Isolated Critical Points of Functions on Singular Spaces: Introduction Critical avatars The relative polar curve The link between the algebraic and topological points of view The special case of perverse sheaves Thom's $a_f$ condition Continuous families of constructible complexes Part IV. Non-Isolated Critical Points of Functions on Singular Spaces: Introduction Le-Vogel cycles Le-Iomdine formulas and Thom's condition Le-Vogel cycles and the Euler characteristic Appendix A. Analytic cycles and intersections Appendix B. The derived category Appendix C. Privileged neighborhoods and lifting Milnor fibrations References Index.