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On the specialization to the asymptotic cone

Mikhail Grinberg
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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.

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Mikhail Grinberg. 1998-05-07. On the specialization to the asymptotic cone. https://arxiv.org/abs/math/9805031

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