Teachers: Qing Liu and Dajano Tossici
Program:
This is an introductory course to algebraic geometry in the langage of schemes.
– Review in general topology;
– Basic notion of algebraic sets;
– Nullstellensatz;
– Affine schemes;
– Sheaves
– Ringed topological spaces and schemes;
– Dimension of schemes;
– Some basic properties of schemes;
– Projective schemes
– Various types of morphisms.
Prerequisites:
Basic notion of commutative algebra.
Bibliography:
Q. Liu: Algebraic Geometry and Arithmetic Curves, Oxford University Press.