Basic Algebraic Geometry
Published on 6. December 2012
XVI, 440 pages
978-3-642-96200-4 (ISBN)
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I. R. Shafarevich
Basic Algebraic Geometry
Book
01/1974
Springer
€91.07
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Content
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.
