Motivic exponential integrals and a motivic Thom-Sebastiani Theorem

Mathematics – Algebraic Geometry

Scientific paper

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25 pages

Scientific paper

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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