Graduate Algebraic Geometry Seminar
Xudong Zheng
UIC
Introduction to Hilbert Schemes
Abstract: A Hilbert scheme is a scheme that is the parameter space for the closed subschemes of some projective space (or a more general
projective scheme). The Hilbert scheme is a disjoint union of projective subschemes corresponding to Hilbert polynomials. I will
formulate the construction problem of the Hilbert scheme and outline the idea of the construction following D. Mumford's "
Lectures on Curves on an Algebraic Surface".
Thursday September 5, 2013 at 3:30 PM in SEO 712