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Science/Engineering The Hodge Theory of Projective Manifolds

Posted on 2010-03-16




Name:Science/Engineering The Hodge Theory of Projective Manifolds
ASIN/ISBN:1860948006
Language:English
File size:1.3 Mb
Publish Date: 2007
ISBN: 1860948006
Pages: 116 pages
File Type: PDF
File Size: 1,3 MB
Other Info: Imperial College Press
   Science/Engineering The Hodge Theory of Projective Manifolds

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M Andrea De Cataldo, "The Hodge Theory of Projective Manifolds"

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 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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