全纯叶状芽的拓扑模空间 III：完全族
动力系统
2024-06-07 v2 经典分析与常微分方程
复变函数
摘要
本工作中，我们利用先前关于上泛型奇异叶状芽拓扑分类的结果来构造完全族：在固定半局部拓扑不变量后，我们证明存在一个极小叶状芽族，它包含所有拓扑类，且任意以任意复流形为参数空间的等奇异性全局族均可经由它分解。
引用
@article{arxiv.2201.07479,
title = {Topological Moduli Space for Germs of Holomorphic Foliations III: Complete families},
author = {David Marín and Jean-François Mattei and Eliane Salem},
journal= {arXiv preprint arXiv:2201.07479},
year = {2024}
}
备注
The paper entitled "Topologically complete families of germs of holomorphic foliations" with reference arXiv:2105.12688 (version 1) has been modified and divided in two parts: the paper "Topological moduli space for germs of holomorphic foliations II: Universal deformations" with reference arXiv:2105.12688v2 and the current paper