1 | Introduction
First Goal | |
2 | Recap of Last Time
Irreducible Components
Projective Space | |
3 | Projective Space (cont.) | Problem set 1 due |
4 | Projective Space (cont.)
Topological Diversion
Sheaves | |
5 | Presheaves
Back to Algebraic Geometry | Problem set 2 due |
6 | Review of things not covered enough (Topics: Fibers, Morphisms of Sheaves)
Back to Work
Morphisms
Varieties | Problem set 3 due |
7 | Homework Review
Back to Varieties | |
8 | Projective Varieties | |
9 | A Review on Projective Varieties
Product of Varieties | Problem set 4 due |
10 | Applications | |
11 | Recap on the Applications
Next Definition of Variety
Dimension | Problem set 5 due |
12 | Homework 5 Problem
Dimension
Future Applications | |
13 | Back to Dimension
Krull Dimension | Problem set 6 due |
14 | Fibers of Morphisms | |
15 | Fiber Products
Back to the Theorem
Complete Varities | Problem set 7 due |
16 | Completeness
Complex Topology | |
17 | Chow's Lemma
Analytic Spaces | Problem set 8 due |
18 | Curves | Problem set 9 due |
19 | What is Next?
How to Study Curves | Problem set 10 due (8 days after Lecture #19)
Final Take-home Exam due (16 days after Lecture #19) |