Analytic cell decomposition and analytic motivic integration

@article{Cluckers2005AnalyticCD,
  title={Analytic cell decomposition and analytic motivic integration},
  author={R. Cluckers and L. Lipshitz and Z. Robinson},
  journal={Annales Scientifiques De L Ecole Normale Superieure},
  year={2005},
  volume={39},
  pages={535-568}
}
Abstract The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef–Pas language, and its application to analytic motivic integrals and analytic integrals over F q ( ( t ) ) of big enough characteristic. To accomplish this, we introduce a general framework for Henselian valued fields K with analytic structure, and we investigate the structure of analytic functions in one variable, defined on annuli over K . We also… Expand
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