The course ist fiven as a series of lectures (approx 15x2h).
FSF3612 Complex Algebraic Geometry 7.5 credits
Information per course offering
Course offerings are missing for current or upcoming semesters.
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus FSF3612 (Spring 2020–)Headings with content from the Course syllabus FSF3612 (Spring 2020–) are denoted with an asterisk ( )
Content and learning outcomes
Course disposition
Course contents
- complex manifolds, meromorphic functions, holomorphic vector bundles
- projective space, blow-ups, complex tori
- cohomology of complex manifolds
- some central theorems (such as Serre duality, Lefschetz (1,1)-theorem, Kodaira's embedding theorem)
Intended learning outcomes
After completing the course, the student should be able to
- prove properties of fundamental concepts in complex algebraic geometry; and
- draw conclusions about compact complex manifolds using techniques and theorems.
Literature and preparations
Specific prerequisites
Master degree in mathematics, or equivalent.
Recommended prerequisites
Suitable prerequisites are
- a course in complex analysis,
- a course in differential geometry, and
- a course in algebra (e.g., algebraic topology or commutative algebra).
Literature
You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
P, F
Examination
- ÖVN1 - Exercises, 7.5 credits, grading scale: P, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
The course is examined through homework exercises.
Other requirements for final grade
Assignments completed.
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information
Course room in Canvas
Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.
Offered by
Main field of study
This course does not belong to any Main field of study.
Education cycle
Third cycle