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Welcome to the course.

For a list theory requirements, see here.

The last chapter is now available. (Feb 22)

The course will be examined with an oral exam. Please contact the examinator.

Chapter 5 is now available. (Feb 20)

Chapter 4 is now available. (Feb 13)

The exercise sessions are from now on also in MVH11. (Feb 09)

Chapter 3 is now available. (Feb 07)

Chapter 2 is now available. (Jan 30)

The schedule for the course has been decided the first time, 8 am on monday January 16, in lecture room MVF 32.
The lectures take place on monday 13:30-15:15 in MVF32 and thursday 13:-14:45 in MVH11 (except thursday Jan 19, in MVF32), and the exercise section is on thursdays, 15:00-16:30 in MVF32.
The Introduction and the first pages of Chapter 1 are now available.

For homework, see below.

Teachers
Examiner and lecturer:
Jan Stevens
Course litterature
We do not follow a specific text. Hand-outs will be made available here during the course. The Introduction and all Chapters 1-6 are now available.

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

affine algebraic varities
4

Nullstellensatz
5

projective varieties
6

Bezout's theorem
7

group law on a cubic curve
8

dimension
9

27 lines on a cubic surface
10

Recommended exercises
Week   Exercises
3
3, 4, 5, 7, 8, 9, 11, 12, 13, 16, 20
4
17, 18, 19, 22, 23, 24, 26, 27, 28, 31
5
24, 27, 28, 32, 35, 41, 42, 43, 46, 47, 50, 51, 55
6
47, 50, 51, 55, 57, 60, 61, 65, 68, 69, 70, 72
7
73, 76, 77, 78, 79, 80, 81, 83, 86, 87, 89, 91
8
95, 98, 99, 100, 101, 102, 103, 104, 105
9
112, 113, 114, 118, 120, 121, 123, 128, 129

Course requirements

For a list theory requirements, see here.
Assignments

Homework to be handed in at the lecture monday Jan 23, or by email on wednesday Jan 25 at the latest: exercises 1, 2 and 10 from Exercises for Chapter 1.

Homework to be handed in at the lecture monday Jan 30, or by email on wednesday Feb 01 at the latest: exercises 25, 29 and 40. Note the correct version of the exercises in the newest version: in 25 it should be k[V], not k(V). In 29: a morphism is a regular map.

Homework to be handed in at the lecture monday Feb 6, or by email on wednesday Feb 8 at the latest: exercises 39, 45 and 59 (the last two on Chapter 2).

Homework to be handed in at the lecture monday Feb 13, or by email on wednesday Feb 15 at the latest: exercises 62 (corrected version), 67 and 71 (the last on Chapter 3). Note the correct version of the exercises in the newest version: in 62 it should be g(X1,...,Xn)+X0h(X1,...,Xn).

Homework to be handed in at the lecture monday Feb 20, or by email on wednesday Feb 22 at the latest: exercises 85, 90 and 96.

Homework to be handed in at the lecture monday Feb 27, or by email on wednesday Feb 29 at the latest: exercises 106, 110 and 115. In the proof of Lemma 1.15 at several places an Xn was missing. The newest version should be correct. A Corollary 4.21 has been inserted, shifting the following theorem numbers by 1.
Examination
To pass this course you should pass a oral exam. Handed in home work determines half of the grade.

Examination procedures
At the following link you can find when exams are given: Schedule
At the exam, you should be able to show valid identification.
Before the exam, it is important that you report that you want to take the examination. If you study at Chalmers, you will do this by the Chalmers Student Portal, and if you study at University of Gothenburg, so sign up via GU's Study Portal.
Notice of result is obtained only by email via Ladok. (Not verbally at study expedition.) This is done automatically when the results are registered. Check that you have the right grades and score.

At the annual examination:
When it is practical a separate review is arranged. The date of the review will be announced here on the course website. Anyone who can not participate in the review may thereafter retrieve and review their exam on Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

At re-examination:
Exams are reviewed and picked up at the Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.