Cell Decomposition and Local Zeta Functions in a Tower of Unramified Extensions of a p -Adic Field

DOI10.1112/plms/s3-60.1.37zbMath0659.12017OpenAlexW2064482333MaRDI QIDQ3808203

Johan Pas

Publication date: 1990

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-60.1.37

zbMATH Keywords

Igusa local zeta functionangular component map modulo pp-adic cell decompositionp-adic quantifier elimination

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Zeta functions and (L)-functions (11S40)

Related Items (12)

Zeta functions of groups and rings: Uniformity ⋮ Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero ⋮ NON-ARCHIMEDEAN YOMDIN–GROMOV PARAMETRIZATIONS AND POINTS OF BOUNDED HEIGHT ⋮ Motivic local density ⋮ A DEFINABLE -ADIC ANALOGUE OF KIRSZBRAUN’S THEOREM ON EXTENSIONS OF LIPSCHITZ MAPS ⋮ Special transformations in algebraically closed valued fields ⋮ Strongly dependent theories ⋮ Tropical spectrahedra ⋮ TOPOLOGICAL CELL DECOMPOSITION AND DIMENSION THEORY IN P-MINIMAL FIELDS ⋮ Model theory of adeles. I. ⋮ Analytic cell decomposition and analytic motivic integration ⋮ Local zeta functions and Meuser's invariant functions

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