Homology of Hilbert schemes of points on a locally planar curve

@article{Rennemo2013HomologyOH,
  title={Homology of Hilbert schemes of points on a locally planar curve},
  author={J. Rennemo},
  journal={arXiv: Algebraic Geometry},
  year={2013}
}
  • J. Rennemo
  • Published 2013
  • Mathematics
  • arXiv: Algebraic Geometry
Let C be a proper, integral, locally planar curve, and consider its Hilbert schemes of points C^[n]. We define 4 creation/annihilation operators acting on the rational homology groups of these Hilbert schemes and show that the operators satisfy the relations of a Weyl algebra. The action of this algebra is similar to that defined by Grojnowski and Nakajima for a smooth surface. As a corollary, we compute the cohomology of C^[n] in terms of the cohomology of the compactified Jacobian of C… Expand
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