Download or read book The Hodge Theory of Projective Manifolds written by Mark Andrea De Cataldo and published by Imperial College Press. This book was released on 2007 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds. It assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian, to Knhler, to complex projective manifolds. Though the proof of the Hodge Theorem is omitted, its consequences OCo topological, geometrical and algebraic OCo are discussed at some length. The special properties of complex projective manifolds constitute an important body of knowledge and readers are guided through it with the help of selected exercises. Despite starting with very few prerequisites, the concluding chapter works out, in the meaningful special case of surfaces, the proof of a special property of maps between complex projective manifolds, which was discovered only quite recently."