Algebraic geometry II - schemes and sheaves

In this lecture, we covered,

- The induced strucutre on P^n, if we want to realize P^n as a quotient of A^{n+1}-{0} by the C^* action.

- Concept of graded rings, homogeneous elements, ideals.

- Definition of the underlying set, topological space and sheaf of rings on Proj of a graded ring.

- The underlying topological space of D_{+}(g), for a homogenous g, is set theoritically, the underlying topological space of Spec(S[1/g]_0).