Algebraic Geometry Learning Seminar

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

"Fibered products"

In this talk we will define fibered products of schemes and study some examples. We will see how their universal property gives us a nice description of the fibered product of affine schemes in terms of the affine scheme of a tensor product of rings. We will study four types of morphisms (open embeddings, adding variables, closed embeddings, and localization) that will give us tools to calculate fibered products of arbitrary schemes.

MC 5417