Maximum Modulus Sets and Segre Convexity
Résumé
Let E be a totally real, analytic, n-dimensional manifold, foliated by analytic interpolation submanifolds of codimension 1, in the analytic boundary of a Segre-convex domain in ℂn. Given a canonical defining function of the boundary of Ω in a point 0 of E : Im z1 +R[Re z1, z′, z̄′]=0. If all the odd exponents in the decomposition of R in irreducible factors, at 0,are greater than 1 then R≥0 and E is locally contained in a maximum modulus set.