Hilbert schemes of a surface and Euler characteristics
Algebraic Geometry
2007-05-23 v1
Abstract
We use basic algebraic topology and Ellingsrud-Stromme results on the Betti numbers of punctual Hilbert schemes of surfaces to compute a generating function for the Euler characteristic numbers of the Douady spaces of "n-points" associated with a complex surface. The projective case was first proved by L. G\"ottsche.
Cite
@article{arxiv.math/9811150,
title = {Hilbert schemes of a surface and Euler characteristics},
author = {Mark Andrea A. de Cataldo},
journal= {arXiv preprint arXiv:math/9811150},
year = {2007}
}
Comments
Latex, 6 pages