三维空间中曲面射流的射影分类
微分几何
2016-09-28 v3 几何拓扑
摘要
我们通过射影变换，按照中心投影的奇点类型（直至余维数4），给出三维空间中光滑射影曲面的局部分类。我们还讨论了蒙日形式的分类与抛物曲线和挠曲线分支之间的关系。
引用
@article{arxiv.1504.06499,
title = {Projective classification of jets of surfaces in 3-space},
author = {Hiroaki Sano and Yutaro Kabata and Jorge Luiz Deolindo Silva and Toru Ohmoto},
journal= {arXiv preprint arXiv:1504.06499},
year = {2016}
}
备注
21 pages, 1 figure. Some typos were corrected, and subsection 4.3 was added