Предельные положения дискриминантного множества си- стемы алгебраических уравнений

We consider a system of n trinomial algebraic equations in n unknowns, where the exponents of the monomials in each equation are fixed while all the coefficients vary. The discriminant locus of such a system is defined to be the closure of the set of all coefficients for which the system has multiple roots with non-zero coordinates. We study the limit-sets of the discriminant hypersurface which are given by truncation polynomials of the discriminant on faces of its Newton polytope. The limit-sets are characterized in terms of the discriminants of systems of lower dimension