Deforming spaces of m-jets of hypersurfaces singularities

In this article we prove that an Embedded Deformation of V which admits a Simultaneous Embedded Resolution induces, under certain conditions, a deformation of the space of m-jets Vm, m≥0. An example of an Embedded Deformation of V which admits a Simultaneous Embedded Resolution is a Γ(f)-deformation of V, where V has at most one isolated singularity, and f is non-degenerate with respect to the Newton Boundary Γ(f).