Hilbert schemes of a surface and Euler characteristics

Details Hilbert schemes of a surface and Euler characteristics Hilbert schemes of a surface and Euler characteristics

1998-11-24

arxiv.org/abs/math/9811150v1

Mathematics

Algebraic Geometry

Latex, 6 pages

Scientific paper

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.

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