Lecture Notes in Mathematics

Hodge Theory

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

Editors: Cattani, E.H.C., Guillen, F., Kaplan, A., Puerta, F. (Eds.)

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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

Table of contents (14 chapters)

  • Shimura Varieties of Weight Two Hodge Structures

    Carlson, James A. (et al.)

    Pages 1-15

  • Variations of polarized hodge structure: Asymptotics and monodromy

    Cattani, Eduardo (et al.)

    Pages 16-31

  • Some remarks on L2 and intersection cohomologies

    Cattani, Eduardo (et al.)

    Pages 32-41

  • The L-adic cohomology of links

    Durfee, Alan H.

    Pages 42-48

  • Hyperrésolutions cubiques et applications à la théorie de hodge-deligne

    Guillén, F. (et al.)

    Pages 49-74

Buy this book

eBook $29.99
price for USA in USD (gross)
  • ISBN 978-3-540-47794-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA in USD
  • ISBN 978-3-540-17743-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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 H.C. Cattani
  • Francisco Guillen
  • Aroldo Kaplan
  • Fernando Puerta
Series Title
Lecture Notes in Mathematics
Series Volume
1246
Copyright
1987
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47794-5
DOI
10.1007/BFb0077524
Softcover ISBN
978-3-540-17743-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VI, 175
Topics