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A Scrapbook of Complex Curve Theory

  • Book
  • © 1980

Overview

Authors:
  1. C. Herbert Clemens

    1. University of Utah, Salt Lake City, USA

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Part of the book series: University Series in Mathematics (USMA)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-ix
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  2. Conics

    • C. Herbert Clemens
    Pages 1-35

  3. Cubics

    • C. Herbert Clemens
    Pages 37-71

  4. Theta Functions

    • C. Herbert Clemens
    Pages 73-112

  5. The Jacobian Variety

    • C. Herbert Clemens
    Pages 113-145

  6. Quartics and Quintics

    • C. Herbert Clemens
    Pages 147-160

  7. The Schottky Relation

    • C. Herbert Clemens
    Pages 161-179

  8. Back Matter

    Pages 181-186
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Keywords

About this book

This is a book of "impressions" of a journey through the theory of com­ plex algebraic curves. It is neither self-contained, balanced, nor particularly tightly organized. As with any notebook made on a journey, what appears is that which strikes the writer's fancy. Some topics appear because of their compelling intrinsic beauty. Others are left out because, for all their impor­ tance, the traveler found them boring or was too dull or lazy to give them their due. Looking back at the end of the journey, one can see that a common theme in fact does emerge, as is so often the case; that theme is the theory of theta functions. In fact very much of the material in the book is prepara­ tion for our study of the final topic, the so-called Schottky problem. More than once, in fact, we tear ourselves away from interesting topics leading elsewhere and return to our main route.

Authors and Affiliations

  • University of Utah, Salt Lake City, USA

    C. Herbert Clemens

Bibliographic Information

  • Book Title: A Scrapbook of Complex Curve Theory

  • Authors: C. Herbert Clemens

  • Series Title: University Series in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-7000-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Plenum Press, New York 1980

  • Softcover ISBN: 978-1-4684-7002-4Published: 02 April 2012

  • eBook ISBN: 978-1-4684-7000-0Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: 196

  • Number of Illustrations: 10 b/w illustrations

  • Topics: Algebraic Geometry

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