Welcome to the course.
Graduate students are welcome, as this course is a joint MSc/PhD course.
The schedule for the course can be found via the link to
webTimeEdit top of the page.
The lectures are on Monday 10:00 - 11:45 in MVF23 and
Tuesday 15:15 - 17:00 in MVF26, and the exercise session
on Monday 15:15 - 17:00 in MVF26, (with exercise sessions starting
on Jan 25).
No lectures in week 7 (Sportlovsvecka), Feb 15 and 16.
In the first two weeks Chapter 1 of the notes was covered,
skipping the primary decomposition in Section 1.6.
The first lecture is on Monday Januari 18, 10:00 - 11:45 in
MVF23. There the remaining schedule will be determined.
Lecture notes for the course.
Exercises for Chapter 1.
Exercises for Chapter 2.
Exercises for Chapter 3.
Exercises for Chapter 4.
Exercises for Chapter 5.
Exercises for Chapter 6.
Reference literature:
William Fulton, ALGEBRAIC CURVES, An Introduction to Algebraic Geometry,
available from the Author's homepage.
Miles Reid, Undergraduate Algebraic
Geometry. LMS Student Texts 12, Cambridge Univ. Press, 1988
Klaus Hulek, Elementary Algebraic Geometry. Student
mathematical library Vol. 20, American Mathematical Society, 2003.
The schedule is preliminary.
Lectures
| Week |
Chapter
|
Contents
|
3
|
1
|
affine algebraic varities, Nullstellensatz
|
4
|
1
|
irreducible coponents, regular functions
|
5
|
2
|
projective varieties
|
6
|
3
|
Bezout's theorem and the group law on a cubic curve
|
8
|
4
|
dimension
|
9
|
5
|
tangent space and nonsingularity
|
10
|
6
|
27 lines on a cubic surface
|
Recommended exercises
| Week |
Excersises
|
4
|
1.4, 1.5, 1.6, 1.8, 1.11, 1.13, 1.14, 1.15, 1.18, 1.22
|
5
|
1.19, 1.20, 1.21, 1.23, 1.25, 1.28, 1.29, 1.30, 1.33
|
6
|
2.1, 2.2, 2.3, 2.6, 2.14, 2.15, 2.19, 2.20, 2.21, 2.27, 2.28
|
8
|
3.2, 3.3, 3.5, 3.6, 3.13, 3.16, 3.19, 3.20, 3.22, 3.27
|
9
|
4.1, 4.2, 4.4,4.5, 4.6, 4.7, 4.8, 4.12, 4.13
|
10
|
5.2, 5.3, 5.4, 6.1, 6.2, 6.4, 6.9, 6.10
|
|
|
For a list of theory requirements, see
here.
Homework to be handed in
on Friday Mar 04 at the latest:
exercises
5.5, 5.7,
6.6
Homework to be handed in
on Friday Feb 26 at the latest:
exercises 3.26,
4.3, 4.9
Homework to be handed in
on Friday Feb 19 at the latest:
exercises 3.4, 3.18 , 3.23
Homework to be handed in
on Friday Feb 6 at the latest:
exercises 2.5, 2.11 (do 2.10 if necessary), 2.29
Homework to be handed in
on Friday Jan 29 at the latest:
exercises 1.31, 1.27, 1.41
Homework to be handed in
on Friday Jan 22 at the latest:
exercises 1.1, 1.2, 1.3 and 1.12
from Exercises for Chapter 1.
Solutions to the first homework lie in the folder Documents
of the GUL activity for this course.
To pass this course you should pass an oral exam.
In
Chalmers Student Portal you can read about when exams are
given and what rules apply on exams at Chalmers.
At the link
Scedule
you can find when exams are given for courses at University of
Gothenburg.
At the exam, you should be able to show valid identification.
You can see your results in Ladok by logging on to the Student
portal.