2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229259This paper has two objectives: we first generalize the theory of Abhyankar-Moh to quasi-ordinary polynomials, then we use the notion of approximate roots and that of generalized Newton polygons in order to prove the embedding conjecture for this class of polynomials. This conjecture -made by S.S. Abhyankar and A. Sathaye- says that if a hypersurface of the affine space is isomorphic to a coordinate, then it is equivalent to it.Algebraic GeometryCommutative Algebra32S25, 32S70text