Archiv der Mathematik

, Volume 75, Issue 1, pp 59–64

Hilbert schemes of a surface and Euler characteristics

  • M. A. A. de Cataldo

DOI: 10.1007/s000130050474

Cite this article as:
de Cataldo, M. Arch. Math. (2000) 75: 59. doi:10.1007/s000130050474


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.

Copyright information

© Birkhäuser Verlag, Basel 2000

Authors and Affiliations

  • M. A. A. de Cataldo
    • 1
  1. 1.Department of Mathematics, SUNY at Stony Brook, Stony Brook, NY 11794-3651, USAUS