MAT4810 – Introduction to Several Complex Variables

Schedule, syllabus and examination date

Choose semester

Course content

Holomorphic functions and mappings. Hartog´s extension phenomenon, domains of holomorphy and holomorphic convexity. Plurisubharmonic functions. The d-bar equation and the Levi problem. Oka´s approximation theorem, Runge pairs and the Cousin problems. Polynomial convexity and applications.

Learning outcome

The course gives an introduction to the most central aspects and methods in the theory of holomorphic functions of several complex variables, and applications of these to approximation and mapping problems.

Admission to the course

Students at UiO register for courses and exams in Studentweb.

MAT4800 – Complex Analysis/MAT9800 – Complex Analysis.

Overlapping courses

Teaching

4 hours of lectures/exercises per week.

The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.

Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.

Examination

1 mandatory assignment.

Final oral examination.

Examination support material

No examination support material is allowed.

Language of examination

Subjects taught in English will only offer the exam paper in English. You may write your examination paper in Norwegian, Swedish, Danish or English

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Resit an examination

This course offers both postponed and resit of examination. Read more:

Special examination arrangements, use of sources, explanations and appeals

See more about examinations at UiO

Last updated from FS (Common Student System) Dec. 10, 2019 6:19:30 PM

Facts about this course

Credits
10
Level
Master
Teaching
Spring

Taught according to demand and resources. Contact studieinfo@math.uio.no if you are interested in this course.

The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.

Spring semester 2020: This course will only be given as a self-study course for master students at the Department of Mathematics.

Examination
Spring
Teaching language
English