
A generalization of the formula of Fine and Rao for the ranks of the intersection homology groups of a complex algebraic variety is given. The proof uses geometric properties of intersection homology and mixed Hodge theory.
6 pages, Latex
Mathematics - Algebraic Geometry, resolution of singularities, FOS: Mathematics, Global theory and resolution of singularities (algebro-geometric aspects), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic Geometry (math.AG), middle perversity intersection homology Betti numbers
Mathematics - Algebraic Geometry, resolution of singularities, FOS: Mathematics, Global theory and resolution of singularities (algebro-geometric aspects), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic Geometry (math.AG), middle perversity intersection homology Betti numbers
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