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)