Inhaltsverzeichnis
I. Algebraic Varieties in a Projective Space. - I. Fundamental Concepts. - II. Local Properties. - III. Divisors and Differential Forms. - IV. Intersection Indices. - II. Schemes and Varieties. - V. Schemes. - VI. Varieties. - III. Algebraic Varieties over the Field of Complex Numbers and Complex Analytic Manifolds. - VII. Topology of Algebraic Varieties. - VIII. Complex Analytic Manifolds. - IX. Uniformization. - Historical Sketch. - 1. Elliptic Integrals. - 2. Elliptic Functions. - 3. Abelian Integrals. - 4. Riemann Surfaces. - 5. The Inversion Problem. - 6. Geometry of Algebraic Curves. - 7. Many-Dimensional Geometry. - 8. The Analytic Theory of Manifolds. - 9. Algebraic Varieties over an Arbitrary Field. Schemes. - Bibliography for the Historical Sketch. - List of Notation.
