Mathematics – Algebraic Geometry
Scientific paper
2010-12-12
Mathematics
Algebraic Geometry
19 pages
Scientific paper
We show that a natural isomorphism between the rational cohomology groups of the two zero-dimensional Hilbert schemes of $n$-points of two surfaces, the affine plane minus the axes and the cotangent bundle of an elliptic curve, exchanges the weight filtration on the first set of cohomology groups with the perverse Leray filtration associated with a natural fibration on the second set of cohomology groups. We discuss some associated hard Lefschetz phenomena.
de Cataldo Mark Andrea A.
Hausel Tamas
Migliorini Luca
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