Algebraic Geometry Learning Seminar

Diana Castaneda Santos, Department of Pure Mathematics, University of Waterloo

"Affine-local properties"

We will continue working on Section 5.3  of Ravi Vail's notes. Last time we discussed about the affine communication lemma. Now, we will use it to define properties on schemes that can be verified locally on its affine pieces. Properties such as being Noetherian, being reduced or being of finite type over a ring $A$, can be verified in this way. Finally we will define affine and projective varieties over a field $k$ and show examples of these.

MC 5403