Algebraic geometry II - schemes and sheaves

In lecture 14, we covered the following topics:

-affine and finite morphisms;

-the fibers of a finite morphism are zero-dimensional schemes, and, in particular, they are finite sets;

-a finite morphism is proper and drops the dimension;

-notion of ramification at codimension 1 points and interpretation of finite dominant morphisms as (possibly branched) covers;

-an example of a finite group quotient;

-geometric interpretation of Noether's normalization;

-definition of sheaf of modules.