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Hodge Theory

Proceedings, U.S.-Spain Workshop held in Sant Cugat (Barcelona), Spain, June 24-30, 1985

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Eduardo Cattani
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  2. Aroldo Kaplan
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  3. Francisco Guillén
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  4. Fernando Puerta
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1246)

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Table of contents (14 papers)

  1. Front Matter

    Pages I-VI
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  2. Shimura Varieties of Weight Two Hodge Structures

    • James A. Carlson, Carlos Simpson
    Pages 1-15

  3. Variations of polarized hodge structure: Asymptotics and monodromy

    • Eduardo Cattani, Aroldo Kaplan, Wilfried Schmid
    Pages 16-31

  4. Some remarks on L2 and intersection cohomologies

    • Eduardo Cattani, Aroldo Kaplan, Wilfried Schmid
    Pages 32-41

  5. The L-adic cohomology of links

    • Alan H. Durfee
    Pages 42-48

  6. Hyperrésolutions cubiques et applications à la théorie de hodge-deligne

    • F. GuillĂ©n, F. Puerta
    Pages 49-74

  7. Iterated integrals and mixed hodge structures on homotopy groups

    • Richard M. Hain
    Pages 75-83

  8. Higher albanese manifolds

    • Richard M. Hain
    Pages 84-91

  9. A guide to unipotent variations of mixed hodge structure

    • Richard M. Hain, Steven Zucker
    Pages 92-106

  10. Truncations of mixed hodge complexes

    • Richard M. Hain, Steven Zucker
    Pages 107-114

  11. Poincaré lemma for a variation of polarized hodge structure

    • Masaki Kashiwara
    Pages 115-124

  12. Evaluation d'integrales et theorie de hodge

    • F. Loeser
    Pages 125-142

  13. Sur les structures de hodge mixtes associées aux cycles evanescents

    • V. Navarro Aznar
    Pages 143-153

  14. L2-cohomology of algebraic varieties in the fubinu metric

    • Vishwambhar Pati
    Pages 154-164

  15. Some remarks about the hodge conjecture

    • J. H. M. Steenbrink
    Pages 165-175
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Keywords

About this book

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

Bibliographic Information

  • Book Title: Hodge Theory

  • Book Subtitle: Proceedings, U.S.-Spain Workshop held in Sant Cugat (Barcelona), Spain, June 24-30, 1985

  • Editors: Eduardo Cattani, Aroldo Kaplan, Francisco GuillĂ©n, Fernando Puerta

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0077524

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-17743-2Published: 25 March 1987

  • eBook ISBN: 978-3-540-47794-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 175

  • Topics: Algebraic Geometry

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