Algebraic Geometry 2 (AlgGeo2)
Course content
This course is an introduction to scheme theory. We will cover affine schemes, gluing for general schemes, local and global properties of schemes, and morphisms of schemes, quasicoherent sheaves on schemes, and their cohomology with applications to curves.
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
Knowledge: To display an understanding of the course
topics and contents at a level suitable for further studies in
Algebraic Geometry.
Skills: At the end of the course, the student is expected to be
able to
follow and reproduce arguments at a high level of abstraction
corresponding to the course contents.
Competences: At the end of the course, the student is expected to
be
able to apply basic techniques and results to concrete
examples.
4 hours lectures and 3 hours exercises per week for 9 weeks.
Course notes.
It is recommended that the students have taken the courses
Algebraic Geometry (AlgGeo) and Homological Algebra (HomAlg).
Academic qualifications equivalent to a BSc degree are
recommended.
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.
- ECTS
- 7,5 ECTS
- Type of assessment
-
Continuous assessment
- Type of assessment details
- Weekly 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.
- Aid
- 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
- Re-exam
-
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 assessment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
Single subject courses (day)
- Category
- Hours
- Lectures
- 36
- Preparation
- 143
- Theory exercises
- 27
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAK16000U
- ECTS
- 7,5 ECTS
- Programme level
- Full Degree Master
- Duration
-
1 block
- Placement
- Block 1
- Schedulegroup
-
C
- Capacity
- No limit
The number of seats may be reduced in the late registration period - Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Lars Hesselholt (5-6f6475766b437064776b3171646a727c643078316466316d73)
- Adel Betina (4-6669676a457266796d33707a336970)
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