Authors compute connected stabilisers of formal normal forms using Levi root system filtrations, stratify orbits by stabiliser conjugacy classes for semisimple residues, and construct quantised affine-Lie-algebra modules extending parabolic Verma and prior singularity modules, plus Shapovalov forms,
arXiv preprint arXiv:0806.1050 , year=
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The perverse Leray filtration on top cohomology of Hilb(Σ×ℂ) is computed explicitly in the ℂ*-upward-flow basis, yielding a triangular change-of-basis from complete homogeneous to power-sum symmetric functions.
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Wild orbits and generalised singularity modules: stratifications and quantisation
Authors compute connected stabilisers of formal normal forms using Levi root system filtrations, stratify orbits by stabiliser conjugacy classes for semisimple residues, and construct quantised affine-Lie-algebra modules extending parabolic Verma and prior singularity modules, plus Shapovalov forms,
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Perverse filtration on Hilbert schemes via upward flow
The perverse Leray filtration on top cohomology of Hilb(Σ×ℂ) is computed explicitly in the ℂ*-upward-flow basis, yielding a triangular change-of-basis from complete homogeneous to power-sum symmetric functions.