Transfer principles for Bounds of motivic exponential functions

Autor:	Cluckers, Raf, Gordon, Julia, Halupczok, Immanuel
Rok vydání:	2014
Předmět:	Mathematics - Algebraic Geometry Mathematics - Logic Mathematics - Number Theory Mathematics - Representation Theory Primary 14E18 Secondary 22E50 40J99
Druh dokumentu:	Working Paper
Popis:	We study transfer principles for upper bounds of motivic exponential functions and for linear combinations of such functions, directly generalizing the transfer principles from [7] by Cluckers-Loeser and [13, Appendix B] by Shin-Templier (appendix B by Cluckers-Gordon-Halupczok). These functions come from rather general oscillatory integrals on local fields, and can be used to describe e.g. Fourier transforms of orbital integrals. One of our techniques consists in reducing to simpler functions where the oscillation only comes from the residue field. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1412.4573 Zobrazit plný text záznamu View this record from Arxiv