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  • Conference proceedings
  • © 1987

Hodge Theory

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

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
  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. Higher albanese manifolds

    • Richard M. Hain
    Pages 84-91
  7. A guide to unipotent variations of mixed hodge structure

    • Richard M. Hain, Steven Zucker
    Pages 92-106
  8. Truncations of mixed hodge complexes

    • Richard M. Hain, Steven Zucker
    Pages 107-114
  9. Some remarks about the hodge conjecture

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

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 Guillén, 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

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access