Complete Intersections. Lectures Given at the 1st 1983 Session of the Centro Internationale Matematico Estivo (C.I.M.E.) Held at Acireale (Catania), Italy, June 13-21, 1983

Complete intersections in affine algebraic varieties and Stein spaces.- Some applications of the theory of positive vector bundles.- Factorial and almost factorial schemes in weighted projective spaces.- On set-theoretic complete intersections.- The classification of quotient singularities which are complete intersections.- Compressed algebras.- Some properties of subcanonical curves.- About the conormal scheme.- On the uniqueness of certain linear series on some classes of curves.- On the local cohomology modules for ideals generated by monomials in an R-sequence.- In characteristic p=2 the Veronese variety Vm ? ?m(m+3)/2 and each of its generic projection is set-theoretic complete intersection.- Idéaux de définition des courbes monomiales.- Curves on rational and elliptic normal cones which are set theoretically complete intersection.- Complete intersections in ?2: Cayley-Bacharach characterizations.- Poincaré forms, Gorenstein algebras and set theoretic complete intersections.