Hilbert schemes of a surface and Euler characteristics

Mark Andrea A. De Cataldo

doi:10.1007/s000130050474

Hilbert schemes of a surface and Euler characteristics

Mark Andrea A. De Cataldo

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	59-64
Number of pages	6
Journal	Archiv der Mathematik
Volume	75
Issue number	1
DOIs	https://doi.org/10.1007/s000130050474
State	Published - Jul 3 2000

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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. G{\"o}ttsche.",

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0034346411

U2 - 10.1007/s000130050474

DO - 10.1007/s000130050474

M3 - Article

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JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 1

ER -

Hilbert schemes of a surface and Euler characteristics

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