Tuesday 21 August 2007

ag.algebraic geometry - intersection cohomology when the resolution is not semi-small

When we have a variety and a resolution of singularities, but it is not semi-small (i.e. the dimensions of the fibres do not satisfy the right conditions), then what can we say about the intersection cohomology?
Someone was telling me something about this with shifting the IC or something, but I cannot remember the precise statement.

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