18.725 | Fall 2003 | Graduate

Algebraic Geometry

Assignments

The assignments are due in the lecture sessions noted in the table.

LEC # TOPICS ASSIGNMENTS
3 Projective Space Problem Set 1 (PDF)
5 Presheaves

Back to Algebraic Geometry

Problem Set 2 (PDF)
6 Review of things not covered enough (Topics: Fibers, Morphisms of Sheaves)

Back to Work

Morphisms

Varieties

Problem Set 3 (PDF)
9 A Review on Projective Varieties

Product of Varieties

Problem Set 4 (PDF)
11 Recap on the Applications

Next Definition of Variety

Dimension

Problem Set 5 (PDF)
13 Back to Dimension

Krull Dimension

Problem Set 6 (PDF)
15 Fiber Products

Back to the Theorem

Complete Varities

Problem Set 7 (PDF)
17 Chow’s Lemma

Analytic Spaces

Problem Set 8 (PDF)
18 Curves Problem Set 9 (PDF)
19 What is Next?

How to Study Curves

Problem Set 10 (PDF)

Final Take-home Exam (PDF)

Course Info

Instructor
Departments
As Taught In
Fall 2003
Level
Learning Resource Types
Lecture Notes
Problem Sets