Algebraic geometry II - schemes and sheaves

In lecture 6, we covered the following topics:

-local spectrum;

-schemes over a base scheme S;

-there is a fully faithful functor from Var(k) to Sch(k), where k is an algebraically closed field;

-notions of dimension and height, with geometric interpretation;

-the additivity theorem for height and dimension, with examples;

-definition or primary ideal.