Messages

Here is a summary of the topics covered in the course: Curriculum

A preliminary schedule for the exams:

9:30 Ola

10:45 Elias

13:00 Elisa

14:15 Cedric

Notes for the last couple of lectures are now uploaded.

-J?rgen

Problem 2 ii) on the mandatory assignment was slightly ambiguous: the correct wording should read `any non-hyperelliptic curve of genus 5 lies on the intersection of three quadrics'. This note explains what can happen if the quadrics do not intersect in a curve.

Notes from lecture 6 on Nov 1 are now uploaded.

-J?rgen

Next week, Nov 7 and Nov 8, there'll be no lectures, since both John and I are away.

-J?rgen

The notes for the lecture 31/10 are now uploaded.

Slightly revised notes from the lecture last Friday are now added to the notes.

-J?rgen

The lecture notes are updated with the third lecture now.

-J?rgen

Notes from the lectures last week are now uploaded, see the link on the right.

-J?rgen

The mandatory assignment can be found below. Please hand in by Friday Nov. 9th.

Mandatory assignment

I've added a new chapter in the lecture notes about applications of the Riemann-Roch theorem (Chapter 18).

I've updated the lecture notes now. The main new parts are in

Chapter 12 (Cohomology)

Chapter 13 (Divisors)

Chapter 17 (Riemann Roch and Serre duality).

We will continue tomorrow with applications of Riemann-Roch to the classification of curves.

From the rest of the term the lectures will be in the following locations:

Wednesdays 12:15-14:00 (with the exception of weeks 43 and 44) : Room 1119

Thursdays 10:15-12:00: Room 1120.

Tomorrow I will continue with K?hler differentials (Chapter 11 in the notes).

The lecture notes for the material on divisors, differentials, etc can be found on the right. These notes will be continually updated throughout the semester.

The next lecture will be Wednesday September 12th, 12:15--14:00, (room 1119).

After that, the next lecture will be Wednesday September 19th (also 12:15-14:00).

Notater fra forelesningen torsdag 30. august, pluss noen oppgaver til denne, ligger n? her.

Welcome to the course MAT4230 - Algebraic geometry III. In this course we will cover various special topics in algebraic geometry. Some of the topics include

• Differentials
• Cohomology of sheaves and Serre duality
• Curve theory
• The Enriques classification of surfaces
• Abelian varieties

The main reference will be Hartshorne's book Algebraic geometry (Springer 1977).