Abstract
Let $D$ be a smooth divisor on a non singular surface $S$. We compute the Betti numbers of the Hilbert scheme of points of $S$ relative to $D$. In the case of $\mathbb{P}^2$ and a line in it, we give an explicit set of generators and relations for the corresponding cohomology groups.
Citation
Iman SETAYESH. "Relative Hilbert scheme of points." J. Math. Soc. Japan 68 (3) 1325 - 1356, July, 2016. https://doi.org/10.2969/jmsj/06831325
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