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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.

Teachers
Examiner and lecturer:
Jan Stevens
Course litterature

Lecture notes for the course.

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.

Programme

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

Course requirements

For a list of theory requirements, see here.
Assignments

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.

Examination
To pass this course you should pass an oral exam.

Examination procedures
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.