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Conjectures in Arithmetic Algebraic Geometry

A Survey

  • Book
  • © 1992

Overview

Authors:
  1. Wilfred W. J. Hulsbergen

    1. KMA, RG Breda, The Netherlands

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Part of the book series: Aspects of Mathematics (ASMA, volume 18)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-vii
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  2. Introduction

    • Wilfred W. J. Hulsbergen
    Pages 1-4

  3. The zero-dimensional case: number fields

    • Wilfred W. J. Hulsbergen
    Pages 5-21

  4. The one-dimensional case: elliptic curves

    • Wilfred W. J. Hulsbergen
    Pages 23-56

  5. The general formalism of L-functions, Deligne cohomology and Poincaré duality theories

    • Wilfred W. J. Hulsbergen
    Pages 57-78

  6. Riemann-Roch, K-theory and motivic cohomology

    • Wilfred W. J. Hulsbergen
    Pages 79-104

  7. Regulators, Deligne’s conjecture and Beilinson’s first conjecture

    • Wilfred W. J. Hulsbergen
    Pages 105-133

  8. Beilinson’s second conjecture

    • Wilfred W. J. Hulsbergen
    Pages 135-141

  9. Arithmetic intersections and Beilinson’s third conjecture

    • Wilfred W. J. Hulsbergen
    Pages 143-149

  10. Absolute Hodge cohomology, Hodge and Tate conjectures and Abel-Jacobi maps

    • Wilfred W. J. Hulsbergen
    Pages 151-183

  11. Mixed realizations, mixed motives and Hodge and Tate conjectures for singular varieties

    • Wilfred W. J. Hulsbergen
    Pages 185-201

  12. Examples and Results

    • Wilfred W. J. Hulsbergen
    Pages 203-224

  13. Back Matter

    Pages 225-240
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Keywords

Authors and Affiliations

  • KMA, RG Breda, The Netherlands

    Wilfred W. J. Hulsbergen

Bibliographic Information

  • Book Title: Conjectures in Arithmetic Algebraic Geometry

  • Book Subtitle: A Survey

  • Authors: Wilfred W. J. Hulsbergen

  • Series Title: Aspects of Mathematics

  • DOI: https://doi.org/10.1007/978-3-322-85466-7

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1992

  • Softcover ISBN: 978-3-528-06433-4Published: 01 January 1992

  • eBook ISBN: 978-3-322-85466-7Published: 09 March 2013

  • Series ISSN: 0179-2156

  • Edition Number: 1

  • Number of Pages: VII, 240

  • Topics: Algebraic Geometry, Geometry, Mathematics, general

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