## Latest news

Welcome to the course!

Graduate students are welcome, as this course is a joint MSc/PhD course.

The lectures are on Monday 10:00 - 11:45 in MVF23 and Wednesday 13:15 - 15:00 in MVH12, and the exercise session on Thursday 8:00 - 9:45 in MVH12.

The first lecture is on Monday Januari 15, 10:00 - 11:45 in MVF23. There the remaining schedule will be determined.

The schedule for the course can be found in TimeEdit.

## Teachers

**Course coordinator:**
Jan Stevens

## Course literature

Lecture notes for the course.

Reference literature:

*ALGEBRAIC CURVES, An Introduction to Algebraic Geometry*, available from the Author's homepage.

*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.

## Program

The schedule is preliminary.#### Lectures

Week |
Chapter | Contents |
---|---|---|

3 |
1 |
affine algebraic varieties, Nullstellensatz |

4 |
1 |
irreducible coponents, regular functions |

5 |
2 |
projective varieties |

6 |
3 |
Bezout's theorem and the group law on a cubic curve |

7 |
4 |
dimension |

8 |
5 |
tangent space and nonsingularity |

9 |
6 |
27 lines on a cubic surface |

#### Recommended exercises

Week |
Exercises |
---|---|

3 |
1.4, 1.5, 1.6, 1.8, 1.11, 1.13, 1.14, 1.15, 1.18, 1.22 |

4 |
1.19, 1.20, 1.21, 1.23, 1.25, 1.28, 1.29, 1.30 |

5 |
1.33, 2.1, 2.2, 2.3, 2.6, 2.14, 2.15, 2.19, 2.20, 2.21 |

6 |
2.27, 2.28, 3.2, 3.3, 3.5, 3.6, 3.13 |

7 |
3.9, 3.12, 3.16, 3.19, 3.20, 3.22, 3.27 |

8 |
4.1, 4.2, 4.4, 4.5, 4.6, 4.7, 4.8, 4.12, 4.13 |

9 |
5.2, 5.3, 5.4, 6.1, 6.2, 6.4, 6.9, 6.10 |

## Course requirements

The learning goals of the course can be found in the course plan.

## Assignments

Homework to be handed in
on Wednesday Jan 24 at the latest:
exercises 1.1, 1.2, 1.3 and 1.12
from Exercises for Chapter 1.

Homework to be handed in on Wednesday Jan 31 at the latest: exercises 1.31, 1.27 and 1.41.

Homework to be handed in on Wednesday Feb 7 at the latest: exercises 2.5, 2.11 (do 2.10 if necessary), 2.29.

Homework to be handed in on Wednesday Feb 14 at the latest: exercises 3.4, 3.18 , 3.23 and 3.26

Homework to be handed in on Wednesday Feb 21 at the latest: exercises 4.3, 4.6 , 4.9 and 4.13

Homework to be handed in on Wednesday Feb 28 at the latest: exercises 5.5, 5,7 and 6.6

## 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. In addition to that, there is a schedule when exams are given for courses at University of Gothenburg.

Before the exam, it is important that you sign up for the examination. If you study at Chalmers, you will do this by the Chalmers Student Portal, and if you study at University of Gothenburg, you sign up via GU's Student Portal, where you also can read about what rules apply to examination at University of Gothenburg.

At the exam, you should be able to show valid identification.

After the exam has been graded, you can see your results in Ladok by logging on to your Student portal.

**At the annual (regular) examination: **

When it is practical, a separate review is arranged. The date of
the review will be announced here on the course homepage. Anyone
who can not participate in the review may thereafter retrieve and
review their exam at the
Mathematical Sciences Student office.
Check that you have the
right grades and score. 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 retrieved at the
Mathematical Sciences Student office.
Check that you have the
right grades and score. Any complaints about the marking must be
submitted in writing at the office, where there is a form to fill
out.