Course MAT-42-22-K-7
Complex Manifolds and Hodge Theory (2V, 4.5 LP)
Course Type
| SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
|---|---|---|---|---|---|
| 2 | V | Lecture | 4.5 CP | 28 h | 107 h |
| (2V) | 4.5 CP | 28 h | 107 h | ||
Basedata
| SWS | 2V |
|---|---|
| CP, Effort | 4.5 CP = 135 h |
| Position of the semester | 1 Sem. irreg. |
| Level | [7] Master (Advanced) |
| Language | [EN] English |
| Lecturers | |
| Area of study | [MAT-AGCA] Algebra, Geometry and Computer Algebra |
| Livecycle-State | [NORM] Active |
Contents
- complex manifolds, subvarieties,
- vector bundles, sections, cohomology,
- applications, e.g. divisors and line bundles,
- differential forms,
- Serre duality.
Literature
- P. Griffiths, J. Harris: Principles of Algebraic Geometry,
- K. Fritzsche, H. Grauert: From Holomorphic Functions to Complex Manifolds.
Materials
Further literature will be announced in the lecture.
Requirements for attendance (informal)
Modules:
- [MAT-10-1-M-2] Fundamentals of Mathematics (M, 28.0 LP)
- [MAT-40-12-M-7] Algebraic Geometry (M, 9.0 LP)
Courses
Requirements for attendance (formal)
None
References to Course [MAT-42-22-K-7]
| Module | Name | Context | |
|---|---|---|---|
| [MAT-42-22-M-7] | Complex Manifolds and Hodge Theory | P: Obligatory | 2V, 4.5 LP |