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Motivic exponential integrals and a motivic Thom-Sebastiani Theorem

J. Denef·F. Loeser
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Abstract

We introduce motivic analogues of p-adic exponential integrals. We prove a basic multiplicativity property from which we deduce a motivic analogue of the Thom-Sebastiani Theorem. In particular, we obtain a new proof of the Thom-Sebastiani Theorem for the Hodge spectrum of (non isolated) singularities of functions.

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J. Denef, F. Loeser. 1998-03-12. Motivic exponential integrals and a motivic Thom-Sebastiani Theorem. https://arxiv.org/abs/math/9803048

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