Hyperbolic localization of intersection cohomology
Algebraic Geometry
2007-05-23 v5
Abstract
For a normal variety X defined over an algebraically closed field with an action of the multiplicative group G_m, we consider the ``hyperbolic localization'' functor from D^b(X) to D^b(X^T), 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.
Keywords
Cite
@article{arxiv.math/0202251,
title = {Hyperbolic localization of intersection cohomology},
author = {Tom Braden},
journal= {arXiv preprint arXiv:math/0202251},
year = {2007}
}
Comments
9 pages; extensive revisions