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Hilbert schemes of a surface and Euler characteristics

Mark Andrea A. de Cataldo
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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.

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Mark Andrea A. de Cataldo. 1998-11-24. Hilbert schemes of a surface and Euler characteristics. https://arxiv.org/abs/math/9811150

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