BOOK 2. Schemes and Varieties
Chapter V. Schemes
1. The Spec of a Ring
2. Sheaves
3. Schemes
4. Products of Schemes
Chapter VI. Varieties
1. Definitions and Examples
2 Abstract and Quasiprojective Varieties
3 Coherent Sheaves
4 Classification of Geometric Objects and Universal Schemes
BOOK 3. Complex Algebraic Varieties and Complex Manifolds
Chapter VII. The Topology of Algebraic Varieties
1. The Complex Topology
2. Connectedness
3. The Topology of Algebraic Curves
4. Real Algebraic Curves
Chapter VIII. Complex Manifolds
1. Definitions and Examples
2. Divisors and Meromorphic Functions
3 Algebraic Varieties and Complex Manifolds
4. Kahler Manifolds
Chapter IX. Uniformisation
1. The Universal Cover
2 Curves of Parabolic Type
3 Curves of Hyperbolic Type
4. Uniformising Higher Dimensional Varieties
Historical Sketch
1. Elliptic Integrals
2. Elliptic Functions
3. Abelian Integrals
4. Riemann Surfaces
5. The Inversion of Abelian Integrals
6. The Geometry of Algebraic Curves
7. Higher Dimensional Geometry
8. The Analytic Theory of Complex Manifolds
9. Algebraic Varieties over Arbitrary Fields and Schemes
References
Index
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2 有用 阅微草堂 2014-11-03 17:45:44
域扩张和拓扑上流形是代数几何中仿射簇推广的两个方向;O(specA)=A;向量丛仅仅是集合论,而局部自由层则是代数结构;环的谱同构于谱的闭子集。代数闭域中代数簇X,正规函数环K(X);对应任意环A谱spec(A),和结构环层O,结构层的茎不依赖它是不是点还是邻域
0 有用 大毛光光头 2009-07-04 12:50:39
入门书,但是没看过后半部分,前半部分不错。
0 有用 _清_™ 2010-04-01 13:59:40
适合浅尝辄止