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 4 hours exercises per week for 9 weeks.
Course notes
It is recommended that the students have taken the courses
Algebraic Geometry (AlgGeo), Homological Algebra (HomAlg) and
Commutative Algebra (KomAlg).
Students should also have some knowledge about category theory.
Academic qualifications equivalent to a BSc degree are
recommended.
- ECTS
- 7,5 ECTS
- Type of assessment
-
Continuous assessment
- Type of assessment details
- Weekly homework accounting for 50% of the grade and a three-hour 'closed-book' final in-class problem set accounting for 50% of the grade
- Aid
- Only certain aids allowed (see description below)
Weekly homework:
All aids except generative artificial intelligence are allowed for the weekly homework.Three-hour final in-class problem set:
One personally created handwritten one-sided A4 page of notes. - Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
- Re-exam
-
30 minutes oral examination with no aids or preparation time. The oral examination will cover the entire material of the course, including the exercises from the exercise sessions.
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
- 134
- Theory exercises
- 36
- 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 limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
- Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinator
- Emanuel Reinecke (8-796c70756c6a726c4774687b6f35727c356b72)
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Kursusinformation for indskrevne studerende