Articles publiés
Non-Archimedean and motivic stationary phase formulas
Téofil Adamski1
1Université Savoie Mont Blanc, CNRS, LAMA, 73000 Chambéry, France
Confluentes Mathematici, Tome 18 (2026), pp. 1-24

In this article, for a non degenerate singular phase, we reconsider a stationary phase formula of Heifetz [10] in the non-Archimedean local field setting and give a motivic analogue using Cluckers–Loeser’s motivic integration.

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DOI : 10.5802/cml.102
Classification : 14E18, 11F85, 26E30, 42B20
Keywords: $p$-adic analysis, motivic integration, oscillatory integrals

Téofil Adamski  1

1 Université Savoie Mont Blanc, CNRS, LAMA, 73000 Chambéry, France
Licence : CC-BY-NC-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Téofil Adamski. Non-Archimedean and motivic stationary phase formulas. Confluentes Mathematici, Tome 18 (2026), pp. 1-24. doi: 10.5802/cml.102

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