PMATH 464/764 Lecture Notes
Chapter 1. Affine Algebraic Varieties
Chapter 2. Ideals in Polynomial Rings
Chapter 3. Points and Irreducible Varieties
Chapter 4. Affine Maps and Affine Equivalence
Chapter 5. Polynomial Maps and Isomorphism
Chapter 6. Rational Maps and Birational Equivalence
Chapter 7. Ring Extensions and Field Extensions
Chapter 8. Hilbert's Nullstellensatz
Chapter 9. Dimension
Chapter 10. Local Dimension and Singularity
Chapter 11. Projective Varieties