Hilbert schemes of points on surfaces
Algebraic Geometry
2007-05-23 v1
Abstract
The Hilbert scheme of points on an algebraic surface is a simple example of a moduli space and also a nice (crepant) resolution of singularities of the symmetric power . For many phenomena expected for moduli spaces and nice resolutions of singular varieties it is a model case. Hilbert schemes of points have connections to several fields of mathematics, including moduli spaces of sheaves, Donaldson invariants, enumerative geometry of curves, infinite dimensional Lie algebras and vertex algebras and also to theoretical physics. This talk will try to give an overview over these connections.
Cite
@article{arxiv.math/0304302,
title = {Hilbert schemes of points on surfaces},
author = {Lothar Göttsche},
journal= {arXiv preprint arXiv:math/0304302},
year = {2007}
}