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arXiv · 1006.0011

Relative Hilbert Scheme of Points

Iman Setayesh
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Abstract

Let $D$ be a smooth divisor on a non singular surface $S$. We compute Betti numbers of the relative Hilbert scheme of points of $S$ relative to $D$. In the case of $\PP^2$ and a line in it, we give an explicit set of generators and relations for the cohomology groups of this space.

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Iman Setayesh. 2010-05-31. Relative Hilbert Scheme of Points. https://doi.org/10.2969/jmsj/06831325

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