ABSTRACT
In a book published some years ago H. Clemens defined the real projective space as the unifier and the complex one as the great unifier. A remarkable example is offered by the work of B. Segre in complex analysis. He was concerned with Poincaré problem: to find pseudo-conformal invariants of a real hypersurface of C2. This chapter remarks the analogy between the Levi form of a real submanifold of Cn and a linear system of quadrics. It focuses on the pseudo-conformal invariants of the moduli of the base locus of the system of quadrics.
