NMAK16000U Algebraic Geometry 2 (AlgGeo2)
MSc Programme in Mathematics
This course is an introduction to scheme theory. We will cover affine schemes, gluing for general schemes, local and global properties of schemes, morphisms of schemes, cohomology of sheaves, cohomology of schemes, applications to curves.
Knowledge: To display knowledge and understanding of the course
and content at a level suitable for further studies in Algebraic
Skills: At the end of the course the student is expected to be able to
follow and reproduce arguments at a high abstract level corresponding to
the contents of the course.
Competences: At the end of the course the student is expected to be
able to apply basic techniques and results to concrete examples.
Academic qualifications equivalent to a BSc degree is recommended.
- Theory exercises
Continuous written individual feedback will be given on the hand-in assignments in order for students to improve their subsequent assignments, as well as on the final in-class test. Collective oral feedback will be given on students’ presentations in class.
- 7,5 ECTS
- Type of assessment
- Continuous assessmentWeekly homework (each weighted equally, accounting for 70% of the grade) and a final in-class problem set (accounting for 30% of the grade). You will have three hours for the in-class problem set.
- Only certain aids allowed
All aids are allowed for the weekly homework. For the final in-class problem set, only written aids are allowed.
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
30 minutes oral exam with 30 minutes preparation time. During the preparation time all aids are allowed. During the examination no aids are allowed.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.