Hilbert scheme of points on singular surfaces

Tuesday, December 15, 2015 -
4:30pm to 6:00pm
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.
Speaker: 
Xudong Zheng
University of Illinois at Chicago
Event Location: 
Fine Hall 322