Maximum modulus sets and Segre convexity

Let E be a totally real, analytic, n-dimensional manifold, foliated by anal ytic interpolation submanifolds of codimension 1, in the analytic boundary of a Segre-convex domain in C-n. Given a canonical defining function of the boundary of Omega in a point 0 of E : Im z(1) + R [Re z(1), z ', (z) over bar '] = 0. If all the odd exponents in the decomposition of R in irreducib le factors, at 0, are greater than 1 then R greater than or equal to 0 and E is locally contained in a maximum modulus set.