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G-Functions and Geometry

A Publication of the Max-Planck-Institut für Mathematik, Bonn

  • Book
  • © 1989

Overview

Authors:
  1. Yves André

    1. Institut H. Poincaré, UA 763 du CNRS, Paris 5, France

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Part of the book series: Aspects of Mathematics (ASMA, volume E 13)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    1. Introduction

      • Yves André
      Pages 1-10

  3. What are G-Functions

    1. Front Matter

      Pages 11-11
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    2. G-Functions

      • Yves André
      Pages 12-37

    3. Geometric Differential Equations

      • Yves André
      Pages 38-44

  4. G-Functions and Differential Equations

    1. Front Matter

      Pages 45-45
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    2. Fuchsian Differential Systems: Formal Theory

      • Yves André
      Pages 46-60

    3. Fuchsian Differential Systems: Arithmetic Theory

      • Yves André
      Pages 61-86

    4. Local Methods

      • Yves André
      Pages 87-111

    5. Global Methods

      • Yves André
      Pages 112-126

  5. Diophantine Questions

    1. Front Matter

      Pages 127-127
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    2. Independence of Values of G-Functions

      • Yves André
      Pages 128-146

    3. A Criterium of Rationality

      • Yves André
      Pages 147-161

  6. G-Functions in Arithmetic Algebraic Geometry

    1. Front Matter

      Pages 162-162
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    2. Towards Grothendieck’s Conjecture on Periods of Algebraic Manifolds

      • Yves André
      Pages 163-199

    3. Endomorphisms in the Fibers of an Abelian Pencil

      • Yves André
      Pages 200-219

  7. Back Matter

    Pages 220-232
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Keywords

Authors and Affiliations

  • Institut H. Poincaré, UA 763 du CNRS, Paris 5, France

    Yves André

Bibliographic Information

  • Book Title: G-Functions and Geometry

  • Book Subtitle: A Publication of the Max-Planck-Institut für Mathematik, Bonn

  • Authors: Yves André

  • Series Title: Aspects of Mathematics

  • DOI: https://doi.org/10.1007/978-3-663-14108-2

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1989

  • Softcover ISBN: 978-3-528-06317-7Published: 01 January 1989

  • eBook ISBN: 978-3-663-14108-2Published: 02 July 2013

  • Series ISSN: 0179-2156

  • Edition Number: 1

  • Number of Pages: XII, 232

  • Topics: Algebraic Geometry, Geometry, Mathematics, general

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