ENGLISH

Introduction to the Theory of Algebraic Functions of One Variable

By C. C. Chevalley

Book information

Publisher
American Mathematical Society
Year
1951
ISBN
0-8218-1506-7, 9780821815069
Language
english
Format
DJVU
Filesize
4 MB (4419924 bytes)
Series
Mathematical Surveys and Monographs 006
Pages
204\204
Library
kolxoz
DPI
600
Time added
2015-12-12 14:00:00

Description

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

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