NMAK14005U Algebraic geometry (AlgGeo)
MSc Programme in Statistics
MSc Programme in Mathematics-Economics
Algebraic Geometry is the study of geometric structures arising
from
solution sets of polynomial equations, and forms a central part of
modern mathematics. It has numerous applications, ranging from
number
theory to theoretical physics.
The course will be an introduction to Algebraic Geometry, and will
cover the following topics:
Algebraic sets, affine and projective varieties, fundamental
properties
of varieties, morphisms. Sheaves, locally ringed spaces, spectra of
rings, affine schemes.
Knowledge: To display knowledge and understanding of the course
topics
and content 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 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.
- Category
- Hours
- Exam
- 1
- Exercises
- 21
- Lectures
- 35
- Preparation
- 149
- Total
- 206
As
an exchange, guest and credit student - click here!
Continuing Education - click here!
- Credit
- 7,5 ECTS
- Type of assessment
- Oral examination, 30 minThe student will have 30 minutes preparation before the exam.
- Exam registration requirements
- To be eligible to take the exam the student must have handed in the mandatory homework assignment, and this must have been approved.
- Aid
- All aids allowed
All aids allowed for the preparation. For the oral exam, the student may bring 1 A4 sheet of notes.
- Marking scale
- 7-point grading scale
- Censorship form
- External censorship
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
Course information
- Language
- English
- Course code
- NMAK14005U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 1
- Schedule
- B (Mon 8-12 + Tues 13-17 + Fri 8-12)
- Course capacity
- no limit
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Lars Halvard Halle
Lecturers
Lars Halvard Halle