Stability of the Euler obstruction of a function
The stability of the Euler obstruction of families of functions with isolated singularities on the germ of a weighted homogeneous hypersurface with isolated singularities and on holonomic free divisors is studied. The Euler obstruction was introduced by \textit{R. D. MacPherson} [Ann. Math. (2) 100, 423--432 (1974; Zbl 0311.14001)]. For an overview, see [\textit{J. P. Brasselet}, in: Proceedings of the XI Brazilian topology meeting, Rio Claro, Brazil, August 3-7, 1998. Singapore: World Scientific. 140--147 (2000; Zbl 1007.32007)].
scientific article; zbMATH DE number 6103271