On the Cobordism Class of the Hilbert Scheme of a Surface
Algebraic Geometry
2007-05-23 v1
Abstract
Let S be a smooth projective surfaces and S^[n] the Hilbert scheme of zero-dimensional subschemes of S of length n. We proof that the class of S^[n] in the complex cobordism ring depends only on the class of the surface itself. Moreover, we compute the cohomology and holomorphic Euler characterisitcs of certain tautological sheaves on S^[n] and prove results on the general structure of certain integrals over polynomials in Chern classes of tautological sheaves.
Keywords
Cite
@article{arxiv.math/9904095,
title = {On the Cobordism Class of the Hilbert Scheme of a Surface},
author = {G. Ellingsrud and L. Göttsche and M. Lehn},
journal= {arXiv preprint arXiv:math/9904095},
year = {2007}
}
Comments
19 pages, Latex 2e