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Modul
Geometry of Schemes [M-MATH-102866]
Credits
8Recurrence
UnregelmäßigDuration
1 SemesterLanguage
Level
5Version
1Responsible
Organisation
- KIT-Fakultät für Mathematik
Part of
Bricks
Identifier | Name | LP |
---|---|---|
T-MATH-105841 | Geometry of Schemes | 8 |
Competence Certificate
The modules is completed by an oral exam of about 30 minutes
Competence Goal
At the end of the module, participants are able to
- relate the notion of algebraic schemes with that of algebraic varieties
- name and discuss basic properties of schemes
- deal with sheaves on schemes and investigate their properties
- start to read recent research papers in algebraic geometry and write a thesis in this field.
Prerequisites
None
Content
- Sheaves of modules
- affine schemes
- varieties and schemes
- morphisms between schemes
- coherent and quasicoherent sheaves
- cohomology of sheaves
Recommendation
The modules "Algebra" and "Algebraic Geometry" are strongly recommended.
Workload
Total work load. 240 hours
Attendance: 90 hours
- lectures, problem classes and examination
Self studies: 150 hours
- follow-up and deepening of the course content
- work on problem sheets
- literature studies and internet research relating to the course content
- preparation for the module examination