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.
Resolution of Singularities -- Seattle Lecture
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These are the notes for my lecture ``Resolution of Sigularities in Charcteristic 0" given at the AMS Summer Institute at Seattle. It gives a self contained proof of the strong Hironaka resolution theorem.
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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.