Overview

Over the past 2O years classical Hodge theory has undergone several generalizations of great interest in algebraic geometry. The papers in this volume reflect the recent developments in the areas of: mixed Hodge theory on the cohomology of singular and open varieties, on the rational homotopy of algebraic varieties, on the cohomology of a link, and on the vanishing cycles; L -realization of the intersection cohomology for the cases of singular varieties and smooth varieties with degenerating coefficients; applications of cubical hyperresolutions and of iterated integrals; asymptotic behavior of degenerating variations of Hodge structure; the geometric realization of maximal variations; and variations of mixed Hodge structure. N

Full Product Details

Author:   Eduardo H.C. Cattani ,  Francisco Guillen ,  Aroldo Kaplan ,  Fernando Puerta
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1987 ed.
Volume:   1246
Dimensions:   Width: 15.50cm , Height: 0.90cm , Length: 23.50cm
Weight:   0.590kg
ISBN:  

9783540177432

ISBN 10:   3540177434
Pages:   175
Publication Date:   25 March 1987
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Language:   English & French

Table of Contents

Shimura Varieties of Weight Two Hodge Structures.- Variations of polarized hodge structure: Asymptotics and monodromy.- Some remarks on L2 and intersection cohomologies.- The L-adic cohomology of links.- Hyperrésolutions cubiques et applications à la théorie de hodge-deligne.- Iterated integrals and mixed hodge structures on homotopy groups.- Higher albanese manifolds.- A guide to unipotent variations of mixed hodge structure.- Truncations of mixed hodge complexes.- Poincaré lemma for a variation of polarized hodge structure.- Evaluation d'integrales et theorie de hodge.- Sur les structures de hodge mixtes associées aux cycles evanescents.- L2-cohomology of algebraic varieties in the fubinu metric.- Some remarks about the hodge conjecture.

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