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Topics in Algebraic Geometry

This is the study programme for 2019/2020. It is subject to change.

Course is aimed at PhD students in mathematics and/or theoretical physics and /or mathematical physics.

Learning outcome

After this course, the student should have fundamental knowledge of deformation theory and moduli theory in Algebraic Geometry.


Deformation theory of rings, schemes and sheaves. Construction/properties of Hilbert schemes. Representable functors, coarse and fine moduli spaces. Construction/properties of moduli spaces of sheaves and curves.

Required prerequisite knowledge


Recommended previous knowledge

Basic knowledge of Algebraic Geometry.


Weight Duration Marks Aid
Oral exam1/1 Pass - FailNone permitted

Course teacher(s)

Course coordinator
Martin Gunnar Gulbrandsen
Head of Department
Bjørn Henrik Auestad

Method of work

5 hours lectures and exercise sessions each week. In case of few students, the course may be organized as a supervised reading course.

Open to

PhD-program in mathematics and physics

Course assessment

According to general guidelines.


E. Sernesi: "Deformations of algebraic schemes". Springer-Verlag, ISBN 3540306080.

This is the study programme for 2019/2020. It is subject to change.

Sist oppdatert: 13.11.2019