Hodge Theory Of Projective Manifolds, The

This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds.\n\nIt assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian, to K�hler, to complex projective manifolds. Though the proof of the Hodge Theorem is omitted, its consequences � topological, geometrical and algebraic � 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.Hodge Theory Of Projective Manifolds, The is written by De Cataldo Mark Andrea A and published by ICP. ISBNs for Hodge Theory Of Projective Manifolds, The are 9781860948657, 1860948650 and the print ISBNs are 9781860948008, 1860948006.