MA 206 0 Algebraic Geometry homewrok
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.