TCC Introduction to Schemes Schedule
Term 1

The following is an outline of the course, which will be updated as
the course progresses.
This will change as the term progresses, and other references
will probably be added. If you're only interested in the lectures on
a particular topic, email me to confirm the date on which they will
take place.
I will post the smartboard notes after each lecture.
Return to the main module webpage.
Week 
Date 
Topics 
References 
Notes 
Homework 
1 
12/10 
Overview, sheaves 
Hartshorne II.1, EisenbudHarris I.1.3, Vakil Ch 2 
Lecture 1 
HW 1 
2 
19/10 
Affine schemes 
Hartshorne II.2, EisenbudHarris I.1.1, Vakil Ch 35. 
Lecture 2 
HW 2 
3 
26/10 
Schemes 
Hartshorne II.2, II.3, EisenbudHarris I.1.2, Vakil Ch 35 
Lecture 3 
HW 3 
4 
2/11 
Properties of schemes 
Hartshorne II.3, EisenbudHarris II, Vakil Ch 35 
Lecture 4 
HW 4 
5 
9/11 
More properties of schemes, Projective schemes 
Hartshorne II.2, II.4, Vakil Section 4.5, Ch 9, Ch 10 
Lecture 5 
HW 5 
6 
16/11 
Coherent sheaves 
Hartshorne II.5, Vakil Ch 13 
Lecture 6 
HW 6 
7 
23/11 
Divisors and Line bundles 
Hartshorne II.6, II.7, EisenbudHarris III, Vakil Ch 14 
Lecture 7 

8 
30/11 
Divisors and line bundles, maps to projective space, functor of points 

Lecture 8 
HW 7 


