A Scrapbook of Complex Curve Theory

  • C. Herbert Clemens

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. C. Herbert Clemens
    Pages 1-35
  3. C. Herbert Clemens
    Pages 37-71
  4. C. Herbert Clemens
    Pages 73-112
  5. C. Herbert Clemens
    Pages 113-145
  6. C. Herbert Clemens
    Pages 147-160
  7. C. Herbert Clemens
    Pages 161-179
  8. Back Matter
    Pages 181-186

About this book

Introduction

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.

Keywords

Impress Schottky problem algebra algebraic curve e-Book function functions moduli space theta function

Authors and affiliations

  • C. Herbert Clemens
    • 1
  1. 1.University of UtahSalt Lake CityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-7000-0
  • Copyright Information Springer-Verlag US 1980
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-7002-4
  • Online ISBN 978-1-4684-7000-0
  • About this book