Rectilinearization of semi-algebraic \(p\)-adic sets and Denef's rationality of Poincaré series

DOI10.1016/j.jnt.2007.10.013zbMath1154.14019arXiv1110.6083OpenAlexW2025925497MaRDI QIDQ958718

Raf Cluckers, Eva Leenknegt

Publication date: 8 December 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6083

zbMATH Keywords

\(p\)-adic integration\(p\)-adic cell decompositionrationality of Serre Poincaré seriesrectilinearization

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Local ground fields in algebraic geometry (14G20)

Related Items (2)

Ideal growth in amalgamated powers of nilpotent rings of class two and zeta functions of quiver representations ⋮ Generalized semi-invariant distributions on \(p\)-adic spaces

Cites Work

• The rationality of the Poincaré series associated to the p-adic points on a variety
• Classification of semi-algebraic p-adic sets up to semi-algebraic bijection
• p-adic semi-algebraic sets and cell decomposition.
• On definable subsets of p-adic fields
• Analytic $p$-adic cell decomposition and integrals

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