Back to Algebraic Geometry Seminar: Spring 2016
Algebraic Geometry Seminar
Date: Tuesday, Feb 9, 2016
Time: 3:30PM - 4:30PM
Location: JFB 102
2:50 - 3:50PM JFB 102
Xudong Zheng
University of Illinois at Chicago
Title |
The Hilbert scheme of points on singular surfaces |
Abstract |
The Hilbert scheme of points on a quasi-projective variety parameterizes its zero-dimensional subschemes. These Hilbert schemes are smooth and irreducible for smooth surfaces but will eventually become reducible for sufficiently singular surfaces. In this talk, I provide the first class of examples of singular surfaces whose Hilbert schemes of points are irreducible, namely surfaces with at worst cyclic quotient rational double points. I will also describe some consequent geometric properties of these irreducible Hilbert schemes. |
Algebraic Geometry