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Macdonald formula for curves with planar singularities
Macdonald formula planar singularities curves Algebraic Geometry
2011/9/1
Abstract: 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 s...
A support theorem for Hilbert schemes of planar curves
Hilbert schemes planar curves Algebraic Geometry
2011/9/5
Abstract: Consider a family of integral complex locally planar curves whose relative Hilbert scheme of points is smooth. The decomposition theorem of Beilinson, Bernstein, and Deligne asserts that the...