We provide estimates on the degree of C l GV determinacy （ G is one of Mather’s groups R or K ） of function germs which are defined on analytic variety V and satisfies a non-degeneracy condition with respect to som...We provide estimates on the degree of C l GV determinacy （ G is one of Mather’s groups R or K ） of function germs which are defined on analytic variety V and satisfies a non-degeneracy condition with respect to some Newton polyhedron. The result gives an explicit order such that the C l geometrical structure of a function germ is preserved after higher order perturbations, which generalizes the result on C l G triviality of function germs given by M.A.S.Ruas.展开更多
基金supported by the National Nature Science Foundation of China(10671009 10871149)
文摘We provide estimates on the degree of C l GV determinacy （ G is one of Mather’s groups R or K ） of function germs which are defined on analytic variety V and satisfies a non-degeneracy condition with respect to some Newton polyhedron. The result gives an explicit order such that the C l geometrical structure of a function germ is preserved after higher order perturbations, which generalizes the result on C l G triviality of function germs given by M.A.S.Ruas.
