Learning outcomes of the course unit
An initial approach to the algebraic theory of curves and surfaces.
Course contents summary
Commutative rings with units: ideals and radicals.
Modules over unitary commutative rings: Nakayama’s theorem.
Local and semi-local rings: localisation.
Rings and Noetherian and Artinian modules.
Ideals of Artinian rings and primary decomposition.
The Krull dimension.
From commutative algebra to algebraic geometry.
Atiya-MacDonald, Algebra commutativa, Feltrinelli
Study seminars, including personal study.