| 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 |