A Scrapbook of Complex Curve Theory / Edition 2

A Scrapbook of Complex Curve Theory / Edition 2

by C. Herbert Clemens
     
 

ISBN-10: 0821833073

ISBN-13: 9780821833070

Pub. Date: 01/28/2003

Publisher: American Mathematical Society

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

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Overview

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.

Product Details

ISBN-13:
9780821833070
Publisher:
American Mathematical Society
Publication date:
01/28/2003
Series:
Graduate Studies in Mathematics Series, #55
Edition description:
2ND
Pages:
188
Product dimensions:
7.10(w) x 10.20(h) x 0.60(d)

Table of Contents

Preface to the Second Edition
Preface
Notation
Ch. 1Conics
Ch. 2Cubics
Ch. 3Theta Functions
Ch. 4The Jacobian Variety
Ch. 5Quartics and Quintics
Ch. 6The Schottky Relation
References
Additional References
Index

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