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Hodge Theory

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

  • Editors
  • Eduardo Cattani
  • Aroldo Kaplan
  • Francisco Guillén
  • Fernando Puerta

Part of the Lecture Notes in Mathematics book series (LNM, volume 1246)

Table of contents

  1. Front Matter
    Pages I-VI
  2. James A. Carlson, Carlos Simpson
    Pages 1-15
  3. Eduardo Cattani, Aroldo Kaplan, Wilfried Schmid
    Pages 16-31
  4. Eduardo Cattani, Aroldo Kaplan, Wilfried Schmid
    Pages 32-41
  5. Alan H. Durfee
    Pages 42-48
  6. Richard M. Hain
    Pages 84-91
  7. Richard M. Hain, Steven Zucker
    Pages 92-106
  8. Richard M. Hain, Steven Zucker
    Pages 107-114
  9. J. H. M. Steenbrink
    Pages 165-175

About this book

Introduction

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

Keywords

Hodge structure algebraic geometry algebraic varieties cohomology

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0077524
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-17743-2
  • Online ISBN 978-3-540-47794-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site