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Algebraic Cycles and Hodge Theory

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21 - 29, 1993

  • Book
  • © 1994

Overview

Authors:
  1. Mark L. Green
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  2. Jacob P. Murre
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  3. Claire Voisin
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Editors:
  1. Fabio Bardelli
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  2. Alberto Albano
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1594)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VII
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  2. Infinitesimal Methods in Hodge Theory

    • Mark L. Green
    Pages 1-92

  3. Algebraic Cycles and Algebraic Aspects of Cohomology and K-Theory

    • Jacob P. Murre
    Pages 93-152

  4. Transcendental Methods in the Study of Algebraic Cycles

    • Claire Voisin
    Pages 153-222

  5. The Infinitesimal Invariant of C + -C-

    • Gian Pietro Pirola
    Pages 223-232

  6. An Introduction to the Hodge Conjecture for Abelian Varieties

    • Bert van Geemen
    Pages 233-252

  7. A Remark on Height Pairings

    • Stefan Müller-Stach
    Pages 253-259

  8. Back Matter

    Pages 261-275
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Keywords

About this book

The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

Bibliographic Information

  • Book Title: Algebraic Cycles and Hodge Theory

  • Book Subtitle: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21 - 29, 1993

  • Authors: Mark L. Green, Jacob P. Murre, Claire Voisin

  • Editors: Fabio Bardelli, Alberto Albano

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b52495

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Softcover ISBN: 978-3-540-58692-0Published: 16 December 1994

  • eBook ISBN: 978-3-540-49046-3Published: 02 September 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 276

  • Topics: Algebraic Geometry, Algebraic Topology

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