ENGLISH

Hodge Theory of Projective Manifolds

By M Andrea De Cataldo

Book information

Publisher
Imperial College Press
Year
2007
ISBN
9781860948008, 1-86094-800-6
Open Library ID
OL12055611M
Language
english
Format
PDF
Filesize
879 kB (900416 bytes)
Pages
113\113
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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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