CSSg method for several genericities of deformations of hypersurface singularities (Singularity theory of smooth maps and its applications)

A new framework for treating several genericities of deformations of hypersurface singularities is proposed. A computation method (CSSg) of comprehensive standard system over a field of rational functions is introduced as a key tool. As application to singularity theory, algorithms of computing parameter dependency of μ(n-l)(f), local Euler obstruction and 1, , -invariants for parametric cases are given