| LEC # | TOPICS | KEY DATES |
|---|---|---|
| 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) |