Title: Algebraic geometry I : algebraic curves, algebraic manifolds and schemes /
Authors: Shafarevich, I. R. 1923-2017.
Publisher: Springer-Verlag,
Year: 1994
Subjects: Schémas (géométrie algébrique); Variétés (mathématiques); Curves, Algebraic.; Manifolds (Mathematics); Schemes (Algebraic geometry); Courbes algébriques; Courbes algébriques.; Variétés (Mathématiques); Schémas (Géométrie algébrique)
Abstract: This book consists of two parts. The first is devoted to the theory of curves, which are treated from both the analytic and algebraic points of view. Starting with the basic notions of the theory of Riemann surfaces the reader is lead into an exposition covering the Riemann-Roch theorem, Riemann's fundamental existence theorem, uniformization and automorphic functions.
Contents: I. Riemann Surfaces and Algebraic Curves / V.V. Shokurov -- II. Algebraic Varieties and Schemes / V.I. Danilov.