Intersection cohomology of reductive varieties

Michel Brion; Roy Joshua

doi:10.4171/jems/17

JournalsjemsVol. 6, No. 4pp. 465–481

Intersection cohomology of reductive varieties

Michel Brion
Université Grenoble I, Saint-Martin-d'Hères, France
- MathSciNet
- zbMATH Open
Roy Joshua
Ohio State University, Columbus, USA
- MathSciNet
- zbMATH Open

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Abstract

We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.

Cite this article

Michel Brion, Roy Joshua, Intersection cohomology of reductive varieties. J. Eur. Math. Soc. 6 (2004), no. 4, pp. 465–481

DOI 10.4171/JEMS/17