Algebraic Geometry 2 (AlgGeo2)

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, and morphisms of schemes, quasicoherent sheaves on schemes, and their cohomology with applications to curves.


MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject

Learning outcome

Knowledge: To display an understanding of the course topics and contents at a level suitable for further studies in Algebraic Geometry.

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

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

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

Course notes.

It is recommended that the students have taken the courses Algebraic Geometry (AlgGeo) and Homological Algebra (HomAlg).

Academic qualifications equivalent to a BSc degree are recommended.

Continuous feedback during the course of the semester
Feedback by final exam (In addition to the grade)

Continuous written individual feedback will be given on the hand-in assignments in order for students to improve their subsequent assignments, as well as on the final in-class test. Collective oral feedback will be given on students’ presentations in class.

7,5 ECTS
Type of assessment
Continuous assessment
Type of assessment details
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.
Only certain aids allowed

All aids are allowed for the weekly homework. For the final in-class problem set, only written aids are allowed.

Marking scale
7-point grading scale
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.

Criteria for exam assessment

The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 36
  • Preparation
  • 143
  • Theory exercises
  • 27
  • English
  • 206


Course number
7,5 ECTS
Programme level
Full Degree Master

1 block

Block 1
No limit
The number of seats may be reduced in the late registration period
Study Board of Mathematics and Computer Science
Contracting department
  • Department of Mathematical Sciences
Contracting faculty
  • Faculty of Science
Course Coordinators
  • Lars Hesselholt   (5-756a7b7c7149766a7d7137776a7078826a367e376a6c377379)
  • Adel Betina   (4-696c6a6d4875697c7036737d366c73)
Saved on the 24-08-2023

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