Algebraic Geometric A First Coruse

Harris, Joe.

Algebraic Geometric A First Coruse - U.S.A : Springer, 1992 - 327 páginas

1.Affine and proyective varieties. 2.Regular functions and maps. 3.Cones, proyections, and more about products. 4.Families and parameter spaces. 5.Ideals of varieties, irreductible decomposition, and the Nullstellensayz. 6.Grassmannians and related varieties. 7.Rational functions and rational maps. 8.More examples. 9.Determinantal varieties. 10.Algebraic groups. 11.Definitions of dimension and elementary examples. 12.More dimension computations. 13.Hilbert polynomials. 14.Smoothness and tangent spaces. 15.Gauss maps, tangential and dual varieties. 16.Tangent spaces to Grassmannians. 17.Further topics involving smoothenss and tangent spaces. 18.Degree. 19.Further examples and applications of Degree. 20.Singular points and tangent cones. 21.Parameter spaces and moduli spaces. 22.Quadrics.

fcnm2628

516.35I/H21