From moment graphs to intersection cohomology

Details From moment graphs to intersection cohomology From moment graphs to intersection cohomology

2000-08-25

arxiv.org/abs/math/0008200v3

Mathematics

Algebraic Geometry

20 pages, 1 figure

Scientific paper

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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