Hilbert schemes of a surface and Euler characteristics

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 fi...

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Bibliographic Details
Published inarXiv.org
Main Author Mark Andrea A de Cataldo
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.11.1998
Subjects
Topology
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Summary: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.
ISSN:2331-8422