Basic Algebraic Geometry: Continuing from the previous video, we give several equivalent conditions for when the cone over the projective toric variety X_A is equal to the affine toric variety Y_A.

1. Toric Varieties 1 - Affine Varieties over C
2. Toric Varieties 2 - Affine Toric Varieties
3. Toric Varieties 3 - Coordinate Rings and Morphisms
4. Toric Varieties 4 - Spec(R) and Affine Semigroups
5. Toric Varieties 5 - Polyhedral Cones for Affine Toric Varieties
6. Toric Varieties 6 - Faces and Localization
7. Toric Varieties 7 - Overview of Smoothness and Normality
8. Projective Toric Varieties - Part 1
9. Projective Toric Varieties - Part 2
10. Affine Pieces of Projective Toric Varieties

In this short series of 10 lessons, Dr. Bob explains the fundamentals of algebraic geometry, including toric varieties, coordinate rings, morphisms, faces, localization, smoothness, normality, and much more.