Introduction to the theory of algebraic functions of one variable

Bibliographic Information

Introduction to the theory of algebraic functions of one variable

by Claude Chevalley

(Mathematical surveys, no. 6)

American Mathematical Society, 1951

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Note

Includes index

Description and Table of Contents

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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Details
  • NCID
    BA01500705
  • ISBN
    • 0821815067
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    [Providence, R.I.]
  • Pages/Volumes
    xi, 188 p.
  • Size
    26 cm
  • Parent Bibliography ID
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