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Here is an overview of the curriculum for the exam.

The date of the exam will be June 15th.

The plan of this week is to cover the chapter on divisors (Chapter 13 in the updated lecture notes).

No exercises this week because of the mandatory assignment.

I've made a few changes and corrected a few typos in the first 8 chapters in the lecture notes. Geir has also given it a new layout which changes the page numbering a little bit. I'll leave the old version on link to the right for now.

The plan of this week is to cover Chapters 10 (10.5-10.7) and Chapter 12 

Please read pages 171-175 and 197-214

Exercise: 50, 51, 52

The plan of this week is to cover Chapters 9 (9.2-9.4) and some of Chapter 10 (10.1-10.5). 

Please read pages 149-170.

Hartshorne: 5.1, 5.2, 5.3, 5.8

Last week's solutions

Here is the Mandatory assignment. Deadline: May 14th.

The plan of this week is to cover Chapter 8 (Quasi-coherent sheaves). This is a very important chapter in this course!

Please read pages 125-148.

Exercises: 31, 32

Hartshorne: 4.2, (4.3)

Last week's solutions

The plan of this week is to cover Chapter 7 (fiber products). 

Please read pages 102-125.

Exercises:

Hartshorne: 2.14 (a,b,c), 3.10.

Last week's solutions

The plan for this week is to start on Chapter 5 and 6 (properties and projective schemes) in the lecture notes.  

Please read pages 83-104.

Suggested exercises: 

Lecture notes: 24, 25

Hartshorne: 3.6, 3.8

Last week's solutions

The exam is run using Zoom. The grade will pass/fail, and the limit for passing will be 40% (like E at the regular exam). As usual, more detailed information on completion will be closer to the exam.

The plan for this week is to start on Chapter 3 and 4 (Gluing and examples) in the lecture notes.  

Please read pages 65-82.

Suggested exercises: 

Lecture notes: 16, 17, 18, 20, 21 

Last week?s solutions

(the numbering of some of the exercises have unfortunately been changed)

The plan for this week is to start on Chapter 2 (Schemes) in the lecture notes.  

Please read pages 43-63.

Suggested exercises: 

Lecture notes: 7, 8, 9, 13, 14

Hartshorne: 2.1, 2.2, 2.10

Last week's problems: PDF

This week the plan is to cover the theory of sheaves, which is Chapter 1 of the lecture notes. 

Please read pages 15-41 in the notes.

Suggested exercises:

Notes: 1, 2, 4

Hartshorne:  II.1:  3, 4, 14, 21

I plan to record solutions to these problems and put them online next week, so it would be a good idea to work on these problems before then.

Welcome to the course MAT4215 - Algebraic geometry II.

Because of the situation with the coronavirus, I will not be able to give lectures, but instead I will be writing lecture notes. A preliminary version of the notes can be found here:

Introduction to Schemes (by Geir Ellingsrud and myself).

These notes will be updated throughout the course.

I also plan to put out recordings of the solutions to the weekly exercises.

I have put a tentative plan for the course on the "Schedule" page. Please do not hesitate to email me if you have any questions about the curriculum or the course. (We can also set up a Zoom meeting, if you want to ask questions or discuss the progression of the course.)