实一元奇点morsification的组合研究
代数几何
2025-01-15 v2 组合数学
摘要
我们研究了一类广泛的单变量实解析函数芽的morsification。我们通过由morsification的极曲线之Newton-Puiseux根构造的平面接触树，刻画了所得Morse函数的组合类型。
引用
@article{arxiv.2306.04601,
title = {Combinatorial study of morsifications of real univariate singularities},
author = {Arnaud Bodin and Evelia Rosa García Barroso and Patrick Popescu-Pampu and Miruna-Stefana Sorea},
journal= {arXiv preprint arXiv:2306.04601},
year = {2025}
}
备注
23 pages, 16 figures. Compared to the first version, we clarified some statements as well as Figure 1 and we added Example 6.4 and Remarks 6.8, 7.1. To appear in Mathematische Nachrichten