Evaluation of motivic functions, non-nullity, and integrability in fibers

DOI10.1016/j.aim.2022.108635OpenAlexW3017694593WikidataQ113880835 ScholiaQ113880835MaRDI QIDQ2089048

Immanuel Halupczok, Raf Cluckers

Publication date: 6 October 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09981

zbMATH Keywords

Grothendieck ringsintegrabilitymotivic integrationmotivic constructible functions

Mathematics Subject Classification ID

Applications of model theory (03C98) Arcs and motivic integration (14E18)

Cites Work

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• The fundamental Lemma of Jacquet and Rallis. Appendix by Julia Gordon
• Constructible motivic functions and motivic integration
• The Grothendieck ring of varieties and piecewise isomorphisms
• Constructible exponential functions, motivic Fourier transform and transfer principle
• Germs of arcs on singular algebraic varieties and motivic integration
• Stringy zeta functions for \(\mathbb Q\)-Gorenstein varieties
• Motivic integration on smooth rigid varieties and invariants of degenerations
• Constructible function and motivic integration. I.
• Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero
• A \(p\)-adic variant of Kontsevich-Zagier integral operation rules and of Hrushovski-Kazhdan style motivic integration
• Motivic Serre invariants, ramification, and the analytic Milnor fiber
• Comparison of some notions of \(C^k\)-maps in multi-variable non-archimedian analysis
• Implicit functions from topological vector spaces to Banach spaces
• Differential calculus over general base fields and rings.
• Definable sets, motives and 𝑝-adic integrals
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• The arc space of horospherical varieties and motivic integration
• p-adic semi-algebraic sets and cell decomposition.
• Uniform p-adic cell decomposition and local zeta functions.
• Singularities of pairs via jet schemes
• Presburger sets and p-minimal fields
• Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero
• The spherical Hecke algebra, partition functions, and motivic integration
• Distributions and wave front sets in the uniform non‐archimedean setting
• Uniform analysis on local fields and applications to orbital integrals
• Motivic Wave Front Sets
• Motivic integration on the Hitchin fibration
• Local integrability results in harmonic analysis on reductive groups in large positive characteristic
• ON THE COMMUTATIVITY OF PULL-BACK AND PUSH-FORWARD FUNCTORS ON MOTIVIC CONSTRUCTIBLE FUNCTIONS
• Uniform rationality of the Poincaré series of definable, analytic equivalence relations on local fields
• Monodromy and the Lefschetz fixed point formula
• Differential geometry, Lie groups and symmetric spaces over general base fields and rings
• Hensel minimality I

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