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Motivic exponential integrals and a motivic Thom-Sebastiani Theorem | | J. Denef
; F. Loeser
; | | Date: |
12 Mar 1998 | | Journal: | Duke Math. J. 99 (1999), no. 2, 285--309. | | Subject: | Algebraic Geometry MSC-class: 14A15; 14A20; 14B05; 32S45; 32S05; 32S30; 32S35 | math.AG | | 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. | | Source: | arXiv, math.AG/9803048 | | Services: | Forum | Review | PDF | Favorites | |
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