Abstract Algebraic Geometry Learning Seminar

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

“Sheaves and morphisms”

We will continue talking about sheaves and stalks. First, we will define the constant sheaf, the push forward sheaf and the skyscraper sheaf. Next, we will introduce ringed spaces and verify that just like modules over a ring, we have OX-modules over a sheaf of rings OX. We will see how to transfer this action to the stalks of a sheaf of rings. Finally, we will establish morphisms between sheaves and if time permits, we will construct the sheaf Hom.