By Mark Andrea A De Cataldo

This e-book is a written-up and elevated model of 8 lectures at the Hodge concept of projective manifolds. It assumes little or no historical past and goals at describing how the idea turns into gradually richer and extra appealing as one specializes from Riemannian, to Kähler, to complicated projective manifolds. notwithstanding the facts of the Hodge Theorem is passed over, its results topological, geometrical and algebraic are mentioned at a few size. The particular houses of complicated projective manifolds represent a tremendous physique of information and readers are guided via it with the aid of chosen workouts. regardless of beginning with only a few must haves, the concluding bankruptcy works out, within the significant distinct case of surfaces, the facts of a distinct estate of maps among complicated projective manifolds, which was once found in basic terms relatively lately.