Algebraic Geometry: A First Course

摘要: 1: Affine and Projective Varieties. 2: Regular Functions Maps. 3: Cones, Projections, More About Products. 4: Families Parameter Spaces. 5: Ideals of Varieties, Irreducible Decomposition. 6: Grassmannians Related 7: Rational 8: Examples. 9: Determinantal 10: Algebraic Groups. 11: Definitions Dimension Elementary 12: Computations. 13: Hilbert Polynomials. 14: Smoothness Tangent 15: Gauss Maps, Tangential Dual 16: Spaces to Grassmannians. 17: Further Topics Involving 18: Degree. 19: Examples Applications 20: Singular Points Cones. 21: Moduli 22: Quadrics.