Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Algebraic Geometry 2 (AlgGeo2)

Practical information
Study year 2016/2017
Block 2
Programme level Full Degree Master
Course responsible
  • Dan Erik Petersen (7-6d6a77796e7d6e49766a7d7137747e376d74)
  • Department of Mathematical Sciences
Course number: NMAK16000U

Course content

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.

Recommended prerequisites

It is recommended that the students have taken the course Algebraic Geometry (AlgGeo).

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MSc Programme in Mathematics


Study Board of Mathematics and Computer Science

Course type

Single subject courses (day)


Dan Petersen


1 block


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Teaching and learning methods

4 hours lectures and 3 hours exercises per week for 9 weeks.


No restrictions/ no limitations




Category Hours
Lectures 36
Theory exercises 27
Preparation 143
English 206


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). You will have three hours for the in-class problem set.


Written aids allowed

Marking scale

7-point grading scale

Criteria for exam assessment

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

Censorship form

No external censorship
One internal examiner


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

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