The lecture notes are courtesy Moses Liskov, a student in the class. Used with permission.
| LEC # | TOPICS |
|---|---|
| 1 | Introduction (PDF) First Goal |
| 2 | Recap of Last Time (PDF) Irreducible Components Projective Space |
| 3 | Projective Space (cont.) (PDF) |
| 4 | Projective Space (cont.) (PDF) Topological Diversion Sheaves |
| 5 | Presheaves (PDF) Back to Algebraic Geometry |
| 6 | Review of things not covered enough (Topics: Fibers, Morphisms of Sheaves) (PDF) Back to Work Morphisms Varieties |
| 7 | Homework Review (PDF) Back to Varieties |
| 8 | Projective Varieties (PDF) |
| 9 | A Review on Projective Varieties (PDF) Product of Varieties |
| 10 | Applications (PDF) |
| 11 | Recap on the Applications (PDF) Next Definition of Variety Dimension |
| 12 | Homework 5 Problem (PDF) Dimension Future Applications |
| 13 | Back to Dimension (PDF) Krull Dimension |
| 14 | Fibers of Morphisms (PDF) |
| 15 | Fiber Products (PDF) Back to the Theorem Complete Varities |
| 16 | Completeness (PDF) Complex Topology |
| 17 | Chow's Lemma (PDF) Analytic Spaces |
| 18 | Curves (PDF) |
| 19 | What is Next? (PDF) How to Study Curves |