Algebraic Geometry Working Seminar

Raymond Cheng, Pure Mathematics, University of Waterloo

"Hilbert Scheme of Points on Surfaces"

Finally, we are in place to discuss the Hilbert scheme of points in a surface. We will discuss some geometric properties of this Hilbert scheme. In particular, we will attempt to explain why the Hilbert scheme of points in the affine plane is smooth and irreducible scheme. We may also give a description of this Hilbert scheme in a way suggestive for future discussions.