On the specialization to the asymptotic cone

Details On the specialization to the asymptotic cone On the specialization to the asymptotic cone

1998-05-07

arxiv.org/abs/math/9805031v1

Mathematics

Algebraic Geometry

17 pages, 2 figures, AMSLaTeX. At the moment, there is some overlap between this paper and math.AG/9802042

Scientific paper

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.

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