Spring 2017-2018

** Homework.**

**For Friday February 2:** Liu 2.2.7, (review 2.2.8, 2.2.13 done last term), 3.2.3, 3.2.5, 5.1.1, 5.1.2.

**For Friday, February 23:**
Liu 5.1.12, 5.1.17, 5.1.3, 5.1.7, 5.1.11.

Readings: review 4.2; read 4.3, 6.1, 6.2.

** For Friday, March 2: **

Liu 8.1.1, 8.1.2, 8.1.3.

Resolve singularities of $z^2 - x^2y^2 = 0$ by blowing up some lines or points.

Resolve singularities of $xy = t^k$ by blowing up points.

**
For Friday, March 9:**

Principalize $(y^2 - x^k)$.

Principalize $(x^2 - zy^2)$.

Principalize $(z^2 - x^2y^2)$.

Principalize $(xy - t^k)$.

Read Kollár 3.1-3.3.

** For Friday, April 27: **

Liu 5.2.2, 5.2.3, 5.2.4, 5.2.7

** For Friday, May 4: **

Liu 5.2.9, 5.2.16, 5.3.2.
Read about Kleiman's criterion for ampleness.
Even better: read Kleiman's original paper.