Analytic p-adic Cell Decomposition and Integrals
| dc.creator | Cluckers, Raf | |
| dc.date | 2002-06-17 | |
| dc.date | 2003-09-26 | |
| dc.date.accessioned | 2026-07-07T04:49:09Z | |
| dc.date.available | 2026-07-07T04:49:09Z | |
| dc.description | We prove a conjecture of Denef on parameterized $p$-adic analytic integrals using an analytic cell decomposition theorem, which we also prove in this paper. This cell decomposition theorem describes piecewise the valuation of analytic functions (and more generally of subanalytic functions), the pieces being geometrically simple sets, called cells. We also classify subanalytic sets up to subanalytic bijection. | |
| dc.description | The paper is accepted for publication in TAMS. Definitions 4.1 and 4.3 changed, making the integral operator $I$ zero if the parametrized function is not integrable for all parameters, where as before it was zero only in those parameters where the function is not integrable | |
| dc.identifier | https://arxiv.org/abs/math/0206161 | |
| dc.identifier | http://arxiv.org/abs/math/0206161 | |
| dc.identifier | Trans. Amer. Math. Soc. 356 (2004), no. 4, 1489 --1499 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64316 | |
| dc.subject | Number Theory | |
| dc.subject | Logic | |
| dc.subject | 03C98, 11S80, 11S40 | |
| dc.title | Analytic p-adic Cell Decomposition and Integrals | |
| dc.type | text |