An Undergraduate Primer in Algebraic Geometry (Paperback)

1 Affine and projective algebraic sets.- 2 Basic notions of elimination theory and applications.- 3 Zariski closed subsets and ideals in the polynomials ring.- 4 Some topological properties.- 5 Regular and rational functions.- 6 Morphisms.- 7 Rational maps.- 8 Product of varieties.- 9 More on elimination theory.- 10 Finite morphisms.- 11 Dimension.- 12 The Cayley form.- 13 Grassmannians.- 14 Smooth and singular points.- 15 Power series.- 16 A ne plane curves .- 17 Projective plane curves.- 18 Resolution of singularities of curves.- 19 Divisors, linear equivalence, linear series.- 20 The Riemann-Roch Theorem.