Intorduction to Algebraic Geometry

  • The Zariski topology
  • Hilbert's Nullstellensatz
  • Rational Functions and Maps
  • Regular Functions and Maps
  • Projective and Quasiprojective Varieties
  • Grassmannians
  • Dimension
  • The Tangent Space
  • Singular Points
  • Local Parameters
  • Completions
  • Birational Equivalence
  • Blowups