内容简介
目录
Ⅰ.Algebraic Geometry
0.Some Commutative Algebra
1.Affine and Projective Varieties
1.1 Ideals and Afline Varieties
1.2 Zariski Topology on Affine Space
1.3 Irreducible Components
1.4 Products of Affine Varieties
1.5 Affine Algebras and Morphisms
1.6 Projective Varieties
1.7 Products of Projective Varieties
1.8 Flag Varieties
2.Varieties
2.1 Local Rings
2.2 Prevarieties
2.3 Morphisms
2.4 Products
2.5 Hausdorff Axiom
3.Dimension
3.1 Dimension of a Variety
3.2 Dimension of a Subvariety
3.3 Dimension Theorem
3.4 Consequences
4.Morphisms
4.1 Fibres of a Morphism
4.2 Finite Morphisms
4.3 Image ofa&n..