Intersection cohomology of reductive varieties

  • Michel Brion

    Université Grenoble I, Saint-Martin-d'Hères, France
  • Roy Joshua

    Ohio State University, Columbus, USA


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