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This entry is from Winter semester 2018/19 and might be obsolete. No current equivalent could be found.
Introduction to Complex Geometry
(dt. Einführung in die komplexe Geometrie)
Level, degree of commitment | Specialization module, compulsory elective module |
Forms of teaching and learning, workload |
Lecture (4 SWS), recitation class (2 SWS), 270 hours (90 h attendance, 180 h private study) |
Credit points, formal requirements |
9 CP Course requirement(s): Written or oral examination Examination type: Successful completion of at least 50 percent of the points from the weekly exercises. |
Language, Grading |
German,The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Mathematics. |
Duration, frequency |
One semester, irregular |
Person in charge of the module's outline | Prof. Dr. Sönke Rollenske |
Contents
Basic characteristics of holomorphic functions in several variables, introduction to sheaf-theoretical language, complex manifolds, line bundles and divisors, projective space and projective manifolds.
Qualification Goals
Students can
- explain basic characteristics of complex manifolds,
- understand and apply the interaction between local results of complex analysis and global properties of complex manifolds.
They deepen
- the practice of mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof techniques),
- in the exercises, their oral communication skills through discussion and free speech in front of an audience.
Prerequisites
Translation is missing. Here is the German original:
Keine. Empfohlen werden die Kompetenzen, die in den Basismodulen sowie in dem Aufbaumodul Funktionentheorie und Vektoranalysis vermittelt werden.
Applicability
Module imported from M.Sc. Mathematics.
It can be attended at FB12 in study program(s)
- B.Sc. Mathematics
- M.Sc. Computer Science
- M.Sc. Mathematics
- LAaG Mathematics
When studying B.Sc. Mathematics, this module can be attended in the study area Compulsory Elective Modules in Mathematics.
Die Wahlmöglichkeit des Moduls ist dadurch beschränkt, dass es der Reinen Mathematics zugeordnet ist.
Recommended Reading
- Huybrechts, Daniel, Complex Geometry: An Introduction. Universitext, Springer-Verlag, 2005.
Please note:
This page describes a module according to the latest valid module guide in Winter semester 2018/19. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:
- Winter 2016/17
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- Winter 2022/23
- Winter 2023/24 (no corresponding element)
The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.
The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.