ABSTRACT

We define some projective invariants, related to the second fundamental form, of an algebraic manifold M that is a complete intersection in CP N and has codim M ≥ 2. If M is canonical (O M (1) ≃ K M ), our remarks show that the field of rational functions of M contains a birationally invariant subfield. In this Note we consider the cases codim M = 2 and N = 6,7.