Introduction to the Theory of Algebraic Functions of One Variable (Mathematical Surveys and Monographs) - Softcover

Chevalle, P.

Softcover

ISBN 10: 0821815067 ISBN 13: 9780821815069

Publisher: American Mathematical Society, 1951

Synopsis

This classical book, written by a famous French mathematician in the early 1950s, presents an approach to algebraic geometry of curves treated as the theory of algebraic functions on the curve. Among other advantages of such an approach, it allowed the author to consider curves over an arbitrary ground field. Among topics discussed in the book are the theory of divisors on a curve, the Riemann-Roch theorem, $p$-adic completion, extensions of the fields of functions (covering theory) and of the fields of constants, and the theory of differentials on a curve. The last chapter, which is more analytic in flavor, treats the theory of Riemann surfaces. Prerequisites for reading are minimal and include only an advanced undergraduate algebra course.

About this edition

• Publisher: American Mathematical Society
• Publication date: 1951
• ISBN 10: 0821815067
• ISBN 13: 9780821815069
• Binding: Paperback
• Number of pages: 188