Embedded resolutions of non necessarily normal affine toric varieties

We give a method to construct a partial embedded resolution of a nonnecessarily normal affine toric variety Z^Γ equivariantly embedded in a normal affine toric variety Z_ρ. This partial resolution is an embedded normalization inside a normal toric ambient space and a resolution of singularities of the ambient space, which always exists, provides an embedded resolution. The advantage is that this partial resolution is completely determined by the embedding Z^Γ?Z_ρ. As a by-product, the construction of the normalization is made without an explicit computation of the saturation of the semigroup Γ of the toric variety (see 3]). This result is valid for a base field k algebraically closed of arbitrary characteristic. To cite this article: P.D. González Pérez, B. Teissier, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 379–382.