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Nearby cycles and composition with a non-degenerate polynomial

G. Guibert·F. Loeser·M. Merle
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Abstract

We compute the motivic nearby cycles of functions obtained by composition with a polynomial which is non-degenerate with respect to its Newton polyhedron. Our result involves new convolution operators and generalized nearby cycles.

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G. Guibert, F. Loeser, M. Merle. 2005-02-08. Nearby cycles and composition with a non-degenerate polynomial. https://arxiv.org/abs/math/0502161

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