On the specialization to the asymptotic cone
Algebraic Geometry
2007-05-23 v1 Algebraic Topology
Abstract
Let X be a smooth, connected, closed subvariety of a complex vector space V. The asymptotic cone as(X) is naturally equipped with a nearby cycles sheaf P coming from the specialization of X to as(X). We show that if X is transverse to infinity in a suitable sense, then the Fourier transform of P is an intersection homology sheaf.
Cite
@article{arxiv.math/9805031,
title = {On the specialization to the asymptotic cone},
author = {Mikhail Grinberg},
journal= {arXiv preprint arXiv:math/9805031},
year = {2007}
}
Comments
17 pages, 2 figures, AMSLaTeX. At the moment, there is some overlap between this paper and math.AG/9802042