# Macdonald formula for curves with planar singularities

@article{Maulik2011MacdonaldFF,
title={Macdonald formula for curves with planar singularities},
author={D. Maulik and Zhiwei Yun},
journal={arXiv: Algebraic Geometry},
year={2011}
}
• Published 2011
• Mathematics
• arXiv: Algebraic Geometry
We generalize Macdonald's formula for the cohomology of Hilbert schemes of points on a curve from smooth curves to curves with planar singularities: we relate the cohomology of the Hilbert schemes to the cohomology of the compactified Jacobian of the curve. The new formula is a consequence of a stronger identity between certain perverse sheaves defined by a family of curves satisfying mild conditions. The proof makes an essential use of Ngo's support theorem for compactified Jacobians and… Expand

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