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

C. C. Chevalley

ISBN 10: 0821815067 / ISBN 13: 9780821815069

Published by American Mathematical Society, 1951

About this Item

Presents an approach to algebraic geometry of curves that is treated as the theory of algebraic functions on the curve. This book discusses such topics as the theory of divisors on a curve, the Riemann-Roch theorem, $p$-adic completion, and extensions of the fields of functions (covering theory) and of the fields of constants. Series: Mathematical Surveys and Monographs. Num Pages: 188 pages. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 184 x 258 x 14. Weight in Grams: 382. . 1951. Paperback. . . . .

Seller Inventory # V9780821815069

Bibliographic Details

• Title: Introduction to the Theory of Algebraic Functions of One Variable (Mathematical Surveys and Monographs)
• Publisher: American Mathematical Society
• Publication Date: 1951
• Language: English
• ISBN 10: 0821815067
• ISBN 13: 9780821815069
• Binding: Soft cover
• Condition: New

About this title

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.