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Relative Hilbert Scheme of Points

Authors
  • Setayesh, Iman
Type
Preprint
Publication Date
Apr 29, 2018
Submission Date
May 31, 2010
Identifiers
DOI: 10.2969/jmsj/06831325
Source
arXiv
License
Yellow
External links

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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