To prepare the student for the study of algebraic geometry or its applications by means of some classical algebraic geometry.
Affine and projective varieties, Zariski-topology, rational functions, morphisms between varieties, regular varieties.
The course is based on lectures given in Finnish. As an auxiliary reference, the following books are recommended:
1. Fulton W, Algebraic Curves.
2. Kahanpää L, Smith K, Kekäläinen P, Johdattelua algebralliseen geometriaan.
3. Reid M, Undergraduate Algebraic Geometry.