Motivic Wave Front Sets
DOI10.1093/imrn/rnz196zbMath1504.14029arXiv1810.10567OpenAlexW2981114820WikidataQ127456856 ScholiaQ127456856MaRDI QIDQ5066817
Publication date: 30 March 2022
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.10567
Fourier transformdistributionsmicrolocal analysismotivic integrationwave front setsmotivic constructible functions
Model-theoretic algebra (03C60) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Representations of Lie and linear algebraic groups over local fields (22E50) Model theory (number-theoretic aspects) (11U09) Applications of model theory (03C98) Wave front sets in context of PDEs (35A18) Arcs and motivic integration (14E18)
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Cites Work
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- Fourier transform of the additive group in algebraically closed valued fields
- The wave front set of the Fourier transform of algebraic measures
- Microlocal geometry and valued fields
- Constructible functions and motivic integration. II
- P-adic oscillatory integrals and wave front sets
- The rationality of the Poincaré series associated to the p-adic points on a variety
- Dimension of definable sets, algebraic boundedness and Henselian fields
- Constructible motivic functions and motivic integration
- Constructible exponential functions, motivic Fourier transform and transfer principle
- Germs of arcs on singular algebraic varieties and motivic integration
- Local metric properties and regular stratifications of \(p\)-adic definable sets
- Constructible function and motivic integration. I.
- Integrability of oscillatory functions on local fields: transfer principles
- Motivic local density
- The value ring of geometric motivic integration, and the Iwahori Hecke algebra of \(\text{SL}_2\). With an appendix by Nir Avni.
- Fourier integral operators. I
- Constructible exponential functions, motivic Fourier transformation and transfer principle. (Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert).
- Definable sets, motives and đ-adic integrals
- An overview of arithmetic motivic integration
- Uniform p-adic cell decomposition and local zeta functions.
- Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero
- Distributions and wave front sets in the uniform nonâarchimedean setting
- ON THE COMMUTATIVITY OF PULL-BACK AND PUSH-FORWARD FUNCTORS ON MOTIVIC CONSTRUCTIBLE FUNCTIONS
- Remarks on the Wave Front of a Distribution