Motivic exponential integrals and a motivic Thom-Sebastiani Theorem
Algebraic Geometry
2007-12-06 v1
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.
Keywords
Cite
@article{arxiv.math/9803048,
title = {Motivic exponential integrals and a motivic Thom-Sebastiani Theorem},
author = {J. Denef and F. Loeser},
journal= {arXiv preprint arXiv:math/9803048},
year = {2007}
}
Comments
25 pages