Exercise 4.3.A.

Read Section 4.4.

- 4.4.1. Show that every function on A^2 minus is point extends to a global section of A^2.

For Wednesday March 2.

- 4.4.4. Read how to glue two schemes together along open sets. Use it to create a line with a doubled origin (4.4.5).
- Go over the construction of the projective line very carefully (4.4.6), including the proof that the projective line is not affine.

We will start discussing projective space.

- 4.4.9 Go through the construction of projective space, including 4.4.D.
- Exercise 4.4.E.
- Fun aside. 4.4.11. Interpret the Chinese remainder theorem in terms of schemes.
- Read Section 4.5.