2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172542Kapranov Theorem is a well known generalization of Newton-Puiseux theorem for the case of several variables. This theorem is stated mainly in the context of tropical geometry. We present a new, constructive proof, that also characterizes the possible principal terms of points in a hypersurface contained in the algebraic torus $(K^*)^n$.4 pages, Proceedings of EACA 2006Commutative AlgebraAlgebraic Geometry12J25text