The grades for the final exam and homeworks are here. If you want to see your exam paper please come to my office (Snellius gebouw 233, Niels Bohrweg 1, 2333 CA Leiden), either between 12:30 and 14:30 on Wednesday 8 June, or at a different time by arrangement.

The course will be held on Tuesdays 10:00-12:45 at the university of Utrecht, in room Ruppert A. The lecture will last from 10:00 until 11:45, then there will be a problem session from 12:00-12:45.

Exam: 31 May, 10:00-13:00, Educatorium Megaron (same location as Semidefinite Optimization) Retake: 21 June, 10:00-13:00, location tba

For the final exam, we expect that you know and understand: (i) definitions and basic results and constructions, (ii) enough examples and counterexamples, (iii) short proofs and short arguments, as discussed during the lectures and the exercise sessions. The (shorter) exercises at the end of each Lecture are a good indication of the questions that may be asked. The exam covers the material from Lectures 1--13 from the lecture notes. The exam takes 3 hours, and literature may NOT be used at the exam.

You may quote results from the Lectures without proof in the exam. If you wish to use results from the exercises then you are expected to re-prove them in the exam.

See the mastermath page here for more administrative information, including prerequisites.

Lecture notes for the course are available here. There are 14 chapters in the notes (and an appendix) and 14 lectures in the semester - we plan to cover 1 chapter per lecture.

There will be weekly exercises, which will not be handed in. There will be problem sessions during which the exercises will be discussed (as described above). There will also be two take home assignments during the semester. There will also be a final written exam. For the final grade, the take home assignments count for 40%, and the written exam for 60%.

The first homework set will be handed out on 15 March, and due in on 29 March. The second homework set will be handed out on 3 May and due in on 17 May.

First assessed homework sheet is here, due in on 29 March. The grades are here.Second assessed homework sheet is here, due in on 17 May. There is a minor mistake in the introduction to the first exercise; it should say `let Y = Z(F)\sub P^n be the corresponding projective variety' (since `hypersurfaces' are by definition irreducible in this course). If you want to use exercise 6.6.8 from the notes for question 1(a) you may do so, but you should be sure to prove carefully that Y has dimension n-1. . The grades are here.

Timetable: the dates of the lectures (and thus problem sessions) are as follows:

Feb 9 - RdJ Eratum: Definition 1.4.1 makes no sense as stated if X is reduucible. To fix this, replace the equality Y = Y_m in the chain by a \supseteq.

Feb 16 - DH

Feb 23 - RdJ

Mar 1 - DH

Mar 8 - DH

Mar 15 -RdJ

Mar 22 - no lecture (NMC)

Mar 29 - DH

Apr 5 - no lecture (teachers away)

Apr 12 -RdJ

Apr 19 -DH Erratum for notes

Apr 26 -DH See note below for erratum to question 10.9.5.

May 3 -DH See here for examples. See note below for erratum to question 11.3.3.i

May 10 -RdJ

May 17 -RdJ

May 24 -RdJ

In question 11.3.3.i, should replace L_P.P = 3 by `the intersection multiplicity of L_P with C at P is 3'.

David Holmes <holmesdst@math.leidenuniv.nl>