NSCPHD1083 Algebraic Geometry 2 (AlgGeo2)

Volume 2016/2017

PhD Programme in Mathematics



PLEASE NOTE         

The PhD course database is under construction. If you want to sign up for this course, please click on the link in order to be re-directed. Link: https://phdcourses.ku.dk/nat.aspx


This course is an introduction to scheme theory. We will cover affine schemes, gluing for general schemes, local and global properties of schemes, morphisms of schemes, cohomology of sheaves, cohomology of schemes, applications to curves.

Learning Outcome

Knowledge: To display knowledge and understanding of the course topics 
and content at a level suitable for further studies in Algebraic 

Skills: At the end of the course the student is expected to be able to 
follow and reproduce arguments at a high abstract level corresponding to 
the contents of the course. 

Competences: At the end of the course the student is expected to be 
able to apply basic techniques and results to concrete examples.

It is recommended that the students have taken the course Algebraic Geometry (AlgGeo).
4 hours lectures and 3 hours exercises per week for 9 weeks.
  • Category
  • Hours
  • Lectures
  • 36
  • Preparation
  • 143
  • Theory exercises
  • 27
  • Total
  • 206
7,5 ECTS
Type of assessment
Continuous assessment
Weekly homework (each weighted equally, accounting for 70% of the grade) and a final
in-class problem set (accounting for 30% of the grade).
Marking scale
7-point grading scale
Censorship form
No external censorship

30 minutes oral exam with preparation time. During the preparation time all aids are allowed. During the examination no aids are allowed.

Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.