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) |