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Introduction to Algebraic and Abelian Functions

  • Textbook
  • © 1982

Overview

Authors:
  1. Serge Lang

    1. Department of Mathematics, Yale University, New Haven, USA

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 89)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-ix
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  2. The Riemann-Roch Theorem

    • Serge Lang
    Pages 1-35

  3. The Fermat Curve

    • Serge Lang
    Pages 36-45

  4. The Riemann Surface

    • Serge Lang
    Pages 46-53

  5. The Theorem of Abel-Jacobi

    • Serge Lang
    Pages 54-71

  6. Periods on the Fermat Curve

    • Serge Lang
    Pages 72-81

  7. Linear Theory of Theta Functions

    • Serge Lang
    Pages 83-109

  8. Homomorphisms and Duality

    • Serge Lang
    Pages 110-130

  9. Riemann Matrices and Classical Theta Functions

    • Serge Lang
    Pages 131-142

  10. Involutions and Abelian Manifolds of Quaternion Type

    • Serge Lang
    Pages 143-155

  11. Theta Functions and Divisors

    • Serge Lang
    Pages 156-164

  12. Back Matter

    Pages 165-169
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Keywords

About this book

Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography.

Reviews

Second Edition

S. Lang

Introduction to Algebraic and Abelian Functions

"An excellent and very readable introduction to basic notions in algebraic geometry."—MATHEMATICAL REVIEWS

Authors and Affiliations

  • Department of Mathematics, Yale University, New Haven, USA

    Serge Lang

Bibliographic Information

  • Book Title: Introduction to Algebraic and Abelian Functions

  • Authors: Serge Lang

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-5740-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc 1982

  • Hardcover ISBN: 978-0-387-90710-9Published: 01 December 1982

  • Softcover ISBN: 978-1-4612-5742-4Published: 17 October 2011

  • eBook ISBN: 978-1-4612-5740-0Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 2

  • Number of Pages: X, 170

  • Additional Information: Originally published by Addison-Wesley

  • Topics: Analysis

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