加权齐次曲面奇点的双利普希茨几何
代数几何
2008-09-04 v3 几何拓扑
度量几何
摘要
我们证明，加权齐次复曲面奇点是度量锥形的（即双利普希茨等价于一个度量锥），当且仅当其两个最低权重相等。我们还给出了一对拓扑等价但非双利普希茨等价的加权齐次复曲面奇点的例子。
引用
@article{arxiv.0704.2041,
title = {Bi-Lipschitz geometry of weighted homogeneous surface singularities},
author = {Lev Birbrair and Alexandre Fernandes and Walter D. Neumann},
journal= {arXiv preprint arXiv:0704.2041},
year = {2008}
}
备注
5 pages. Added result that nonhomogeneous cyclic quotients are not conical