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Algebraic Geometry

MA5107Elective Modules9 ECTSEnglishUnregelmäßigEhemalige Fakultät für Mathematik
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You will learn central terms and techniques of algebraic geometry: dimension theory of schemes, products of schemes, separated and genuine morphisms, coherent sheaves as well as differentials and smoothness. In the end you will be able to apply these algebraic and geometric concepts to fundamental questions of algebraic geometry.

What you will be able to do

  • Understanding the dimension of schemes
  • Familiarity with products of schemes
  • Knowledge of separated and proper morphisms
  • Handling coherent sheaves
  • Understanding of differentials and smoothness
  • Application of the concepts to simple algebraic-geometric problems

What the module consists of

  • LectureConveying theoretical principles and examples
  • TutorialDiscussion of exercise problems to deepen the lecture content

Teaching method

  • Blackboard lectureFor presenting theoretical principles and examples
  • ExercisesFor illustration and deepening of the lecture topics
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Official page in TUMonline · Details are not binding.