AMPLE VECTOR-BUNDLES WITH SECTIONS VANISHING ON PROJECTIVE SPACES OR QUADRICS

Let epsilon be an ample vector bundle of rank r greater than or equal to 2 on a compact complex manifold X of dimension n greater than or eq ual to r + 1 having a section whose zero locus is a submanifold Z of t he expected dimension n - r. Pairs (X, epsilon) as above are classifie d under the assumption that Z is either a projective space or a quadri c.