The Hodge theory of projective manifolds


名称	The Hodge theory of projective manifolds

索引号	O189/E20075/2003
分类号	O189/E20075 O189(拓扑-形势几何学) O18(几何-拓扑) O1(数学) O(数理科学和化学)
作者	Summer School on Hodge Theory (2003 : Byeonsan Peninsula、 South Korea)、De Cataldo、 Mark Andrea.、
出版社	London : Imperial College Press, c2007.
ISBN
页数	x, 102 p. ; 24 cm.
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简介
注解	Eight lectures from the Summer School on Hodge Theory at the Byeonsan Peninsula in South Korea, July 22 - July 27, 2003. 附註 Includes bibliographical references and index. 摘要 "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 Kahler, 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."--BOOK JACKET.