Skip to main content
SpringerLink
Log in

Hilbert schemes of a surface and Euler characteristics

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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. Göttsche.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, SUNY at Stony Brook, Stony Brook, NY 11794-3651, USA, , , , , , US

    M. A. A. de Cataldo

Authors
  1. M. A. A. de Cataldo
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 18.3.1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

de Cataldo, M. Hilbert schemes of a surface and Euler characteristics. Arch. Math. 75, 59–64 (2000). https://doi.org/10.1007/s000130050474

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000130050474

Keywords

Search

Navigation