The Hodge Theory of Projective Manifolds Mark Andrea De Cataldo

ISBN: 9781860948008

Published: August 1st 2007

Hardcover

102 pages


Description

The Hodge Theory of Projective Manifolds  by  Mark Andrea De Cataldo

The Hodge Theory of Projective Manifolds by Mark Andrea De Cataldo
August 1st 2007 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 102 pages | ISBN: 9781860948008 | 5.75 Mb

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 specializesMoreThis 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 Kähler, 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.



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