DE

Modul

Geometry of Schemes [M-MATH-102866]

Credits
8
Recurrence
Unregelmäßig
Duration
1 Semester
Language
Level
5
Version
1

Responsible

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