Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.
Analytic sheaves of local cohomology
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Introduces quasi-rational singularities and proves an isolated singularity is rational precisely when it is quasi-rational, Du Bois, and certain local mixed Hodge numbers vanish.
For an arbitrary line bundle and Cartier divisor, the N-fold cyclic cover decomposes in the derived category of mixed Hodge modules, yielding explicit log-resolution formulas for π*Ω^p_Y and singularity criteria.
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K-theory of Gieseker variety and type A cyclotomic Hecke algebra
Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.
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Differential Forms and Hodge Structures on Singular Varieties
Introduces quasi-rational singularities and proves an isolated singularity is rational precisely when it is quasi-rational, Du Bois, and certain local mixed Hodge numbers vanish.
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Cyclic covers via mixed Hodge modules
For an arbitrary line bundle and Cartier divisor, the N-fold cyclic cover decomposes in the derived category of mixed Hodge modules, yielding explicit log-resolution formulas for π*Ω^p_Y and singularity criteria.