论文标题
由地图的欧拉障碍物编码的几何信息
The geometrical information encoded by the Euler obstruction of a map
论文作者
论文摘要
In this work we investigate the topological information captured by the Euler obstruction of a map, $f:(X,0)\to (\mathbb{C}^{2},0)$, with $(X,0)$ a germ of a complex $d$-equidimensional singular space, with $d > 2$, and its relation with the local Euler obstruction of the coordinate functions and, consequently, with the Brasselet number.但是，在出发品种的某些技术条件下，我们将与MAP-GERM $ f $相关的特殊收藏的Chern数与$ f $ $ f $的cusps数量有关，以稳定$（x，f）$。
In this work we investigate the topological information captured by the Euler obstruction of a map, $f:(X,0)\to (\mathbb{C}^{2},0)$, with $(X,0)$ a germ of a complex $d$-equidimensional singular space, with $d > 2$, and its relation with the local Euler obstruction of the coordinate functions and, consequently, with the Brasselet number. Nevertheless, under some technical conditions on the departure variety we relate the Chern number of a special collection related to the map-germ $f$ at the origin with the number of cusps of a generic perturbation of $f$ on a stabilization of $(X,f)$.
