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Author:   Vincenzo Ancona (University of Trento, Firenze, Italy) ,  Bernard Gaveau (University of Paris VI Pierre et Marie Curie, Paris, France) ,  Bernard Gaveau (University of Paris VI Pierre et Marie Curie, Paris, France) ,  Earl Taft
Publisher:   Taylor & Francis Ltd
Imprint:   Taylor & Francis Ltd
Volume:   273
Dimensions:   Width: 15.60cm , Height: 2.30cm , Length: 23.40cm
Weight:   0.589kg
ISBN:  

9780849337390

ISBN 10:   0849337399
Pages:   332
Publication Date:   24 August 2005
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Classical Hodge Theory. Spectral Sequences and Mixed Hodge Structures. Complex Manifolds, Vector Bundles, Differential Forms. Sheaves and Cohomology. Harmonic Forms on Hermitian Manifolds. Hodge Theory on Compact Kählerian Manifolds. The Theory of Residues on a Smooth Divisor. Complex Spaces. Differential Forms on Complex Spaces. The Basic Example. Differential Forms in Complex Spaces. Mixed Hodge Structures on Compact Spaces. Mixed Hodge Structures on Noncompact Spaces. Residues and Hodge Mixed Structures: Leray Theory. Residues and Mixed Hodge Structures on Noncompact Manifolds. Mixed Hodge Structures in Noncompact Spaces: The Basic Example. Mixed Hodge Structures on Noncompact Singular Spaces.

Reviews

... is divides into three parts of roughly 100 pages each. ... written for people who have a basic understanding of the subject and who wish to see what's happening behind the scenes. ... material more accessible. - Donu Arapura, Purdue University, in Siam Review, Vol. 48, No. 3 This book offers a novel and complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. ... well-written for an advanced level text ant it is valuable to beginning researchers as an introduction to an important and beautiful mathematical subject. The book will also serve as a good reference for further research work. - Vagn Lundsgaard Hansen (Lyngby), in Zentralblatt MATH 1088

Author Information

Vincenzo Ancona, Bernard Gaveau

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