Commutative algebra and algebraic geometry
7.5 credits cr.
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Algebraic geometry is the study of solutions to systems of polynomial equations. Commutative algebra is the underlying machinery. The course will give an introduction to these areas.
The course covers rings, ideals, prime ideals, nilpotents, zero-divisors, modules, Noetherian rings, Hilbert's basis theorem, finite extensions and Noetherian normalization, varieties, Nullstellensatz, prime ideal spectra, localization, primary decomposition.
This course is given jointly by Stockholm University and KTH, and part of the course is given at KTH. More information can be found on the course web before the start of the semester, see link below.
The course consists of one element.
Instruction is given in the form of lectures and exercises.
The course is assessed through written examination.
A list of examiners can be found on
ScheduleThe schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.
The schedules for the KTH and SU parts of the course may be shown separately.
Note that the course literature can be changed up to two months before the start of the course.
Gathmann: Algebraic Geometry, lecture notes (available online).