2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66911We define a natural filtration on the ring ${\cal O}_{V,0}$ of germs of functions on a germ of a complex analytic variety $(V,0)$ related with the geometry of arcs on the variety and describe some properties of it.Algebraic Geometry14B05; 32S10text