Differential Forms and Hodge Structures on Singular Varieties
Differential Forms and Hodge Structures on Singular Varieties
We compare a couple of notions of differential form on singular complex algebraic varieties, and relate them to the outermost associated graded spaces of the Hodge filtration of ordinary and intersection cohomology. In particular, we introduce and study singularities, that we call quasi-rational, which are normal and such that for …