Xudong Zheng : Introduction to Hilbert Schemes

Posted by Xudong Zheng , part of the Graduate Algebraic Geometry Seminar.

At

Sept. 5, 2013, 3:30 p.m.

In

SEO 712

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 "<i> Lectures on Curves on an Algebraic Surface</i>".