Motivic exponential integrals and a motivic Thom-Sebastiani Theorem

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.

25 pages

Cited by in corpus (5)

• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• Hodge theory of the middle convolution
• Purity for graded potentials and quantum cluster positivity
• Proofs of the integral identity conjecture over algebraically closed fields
• The motivic Donaldson-Thomas invariants of (-2) curves