Algebraic Geometry

Calendar

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)