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Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
Exchange perverse weight filtration Hilbert schemes points of two surfaces
2011/1/21
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 bun...
Decomposition Theorem for Perverse sheaves on Artin stacks
Decomposition Theorem Perverse sheaves Artin stacks
2010/12/10
We generalize the decomposition theorem for perverse sheaves to Artin stacks with affine automorphism groups over finite fields and over the complex numbers. During the proof, we also give the generic...