Math 632. Algebraic Geometry II
Here is a copy of the
syllabus.
Problem sets for the discussion session:
#1,
#2,
#3,
#4,
#5,
#6,
#7,
#8,
#9,
#10,
#11,
#12,
#13
Homework assignments: HW1,
HW2, HW3,
HW4, HW5,
HW6, HW7,
HW8, HW9,
HW10, HW11,
HW12
Here are some review sheets for some commutative algebra material that we
will need in class:
1. Review of associated primes
and primary decomposition.
2. Review of completion.
3. Review of modules of finite length.
4. Review of embeddings in injective
modules.
5. Write-up about Serre's normality
criterion.
6. Write-up about the local flatness
criterion.
Aleksander Horawa has been live live TeX-ing notes during the lectures and
he kindly made them available
here.
Here are also my lecture notes for the
course, continuing those from the last semester.
Here are solutions
for the take-home exam.
Extra classes:
Lecture 1: An introduction to algebraic curves (Riemann-Roch,
Riemann-Hurwitz, and applications)
Thursday, May 10, 2:10-4:00pm, EH 4088
Lecture 2: Intersection numbers of line bundles and the Nakai-Moishezon
ampleness criterion
Thursday, May 17, 1:00-2:50pm, EH 4088
Lecture 3. Introduction to the birational geometry of surfaces
Thursday, May 24, 1:00-2:50pm, EH 4088