This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Module version of WS 2012/3
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
|available module versions|
|SS 2022||SS 2021||WS 2020/1||WS 2018/9||SS 2013||WS 2012/3|
MA5107 is a semester module in English language at Master’s level which is offered irregular.
This Module is included in the following catalogues within the study programs in physics.
- Specialization Modules in Elite-Master Program Theoretical and Mathematical Physics (TMP)
|Total workload||Contact hours||Credits (ECTS)|
|270 h||90 h||9 CP|
Content, Learning Outcome and Preconditions
- coherent sheaves
- projective, affine, reduced, and normal schemes
- blow-ups and normalization
MA1102 Linear Algebra and Discrete Structures 2 or MA0004 Linear Algebra 1 and MA0005 Linear Algebra 2 and Discrete Structures;
MA2101 Algebra or MA2010 Algebra;
MA5120 Algebra 2
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||4||Algebraic Geometry||Liedtke, C.|
|UE||2||Exercises for Algebraic Geometry||Liedtke, C.|
Learning and Teaching Methods
Görtz/Wedhorn: Algebraic Geometry I, Vieweg-Teubner
Hartshorne: Algebraic Geometry, Springer
Description of exams and course work
The students will be asked to reproduce and explain definitions and results from the lecture and to give illustrating examples. Further, they are asked to apply these results as well as key arguments explained in the lecture to new examples that are given in the exam.
The exam may be repeated at the end of the semester.