Abstract
For a normal variety X defined over an algebraically closed field with an action of the multiplicative group T = Gm, we consider the "hyperbolic localization" functor Db(X) → Db(XT), which localizes using closed supports in the directions flowing into the fixed points, and compact supports in the directions flowing out. We show that the hyperbolic localization of the intersection cohomology sheaf is a direct sum of intersection cohomology sheaves.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Braden, T. Hyperbolic localization of intersection cohomology. Transformation Groups 8, 209–216 (2003). https://doi.org/10.1007/s00031-003-0606-4
Issue Date:
DOI: https://doi.org/10.1007/s00031-003-0606-4