Course content

The course is an introduction to commutative algebra and algebraic geometry. In the first part of the course, the topics covered will usually include prime ideals, the spectrum of a ring, localization, and dimension theory. In the second part, some of the fundamental topics in algebraic geometry are introduced, such as affine and projective varieties, sheaves, and schemes.

Learning outcome

1. Knowledge. The student knows the fundamental concepts of commutative algebra and algebraic geometry: prime ideals, the spectrum of a ring, localization, dimension theory, affine and projective varieties, sheaves, and schemes. The student also knows various illustrating examples.

2. Skills. The student can read, discuss, and write arguments using the theory of commutative algebra and algebraic geometry.

Learning methods and activities

Usually lectures. Teaching activities may vary depending on the lecturer.

Recommended previous knowledge

MA3201 Rings and Modules. It would also be an advantage to know basic topology, for example from TMA4190 Introduction to Topology.

Course materials

Announced at the start of the course.

Credit reductions