Hilbert schemes of a surface and Euler characteristics

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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.
Latex, 6 pages

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/77762

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9811150
 http://arxiv.org/abs/math/9811150

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arXiv