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A Scrapbook of Complex Curve Theory: Second Edition
C. Herbert Clemens, Ohio State University, Columbus, OH
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Graduate Studies in Mathematics
2003; 188 pp; hardcover
Volume: 55
ISBN-10: 0-8218-3307-3
ISBN-13: 978-0-8218-3307-0
List Price: US$45
Member Price: US$36
Order Code: GSM/55
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This fine book by Herb Clemens quickly became a favorite of many algebraic geometers when it was first published in 1980. It has been popular with novices and experts ever since. It is written as a book of "impressions" of a journey through the theory of complex algebraic curves. Many topics of compelling beauty occur along the way. A cursory glance at the subjects visited reveals a wonderfully eclectic selection, from conics and cubics to theta functions, Jacobians, and questions of moduli. By the end of the book, the theme of theta functions becomes clear, culminating in the Schottky problem.

The author's intent was to motivate further study and to stimulate mathematical activity. The attentive reader will learn much about complex algebraic curves and the tools used to study them. The book can be especially useful to anyone preparing a course on the topic of complex curves or anyone interested in supplementing his/her reading.

Readership

Graduate students and others looking for inspiration in the theory of complex algebraic curves.

Table of Contents

  • Conics
  • Cubics
  • Theta functions
  • The Jacobian variety
  • Quartics and quintics
  • The Schottky relation
  • References
  • Additional references
  • Index
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