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Remarks on the Combinatorial Intersection Cohomology of Fans

Remarks on the Combinatorial Intersection Cohomology of Fans

We review the theory of combinatorial intersection cohomology of fans developed by Barthel-Brasselet-Fieseler-Kaup, Bressler-Lunts, and Karu.This theory gives a substitute for the intersection cohomology of toric varieties which has all the expected formal properties but makes sense even for non-rational fans, which do not define a toric variety.As a result, …