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From moment graphs to intersection cohomology

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arxiv math/0008200 v3 pith:OSHTO5H2 submitted 2000-08-25 math.AG

Tom Braden , Robert MacPherson This is my paper · ORCID
classification math.AG
keywords varietiescohomologyintersectionflagactionsaffinealgebraicapplies
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We describe a method of computing equivariant and ordinary intersection cohomology of certain varieties with actions of algebraic tori, in terms of structure of the zero- and one-dimensional orbits. The class of varieties to which our formula applies includes Schubert varieties in flag varieties and affine flag varieties. We also prove a monotonicity result on local intersection cohomology stalks.

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