271 citations · 598 across the 18 of their papers we have counts for
18 papers
Distributions and wave front sets in the uniform non-archimedean setting
Raf Cluckers, Immanuel Halupczok, François Loeser +1
We study some constructions on distributions in a uniform -adic context, and also in large positive characteristic, using model theoretic methods. We introduce a class of distri…
Non-archimedean Yomdin-Gromov parametrizations and points of bounded height
R. Cluckers, G. Comte, F. Loeser
We prove an analogue of the Yomdin-Gromov Lemma for -adic definable sets and more broadly in a non-archimedean, definable context. This analogue keeps track of piecewise approxi…
Chai's Conjecture and Fubini properties of dimensional motivic integration
R. Cluckers, F. Loeser, J. Nicaise
We prove that a conjecture of Chai on the additivity of the base change conductor for semi-abelian varieties over a discretely valued field is equivalent to a Fubini property for t…
Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero
R. Cluckers, F. Loeser
We extend the formalism and results on motivic integration from ["Constructible motivic functions and motivic integration", Invent. Math., Volume 173, (2008) 23-121] to mixed chara…
Transfer Principle for the Fundamental Lemma
R. Cluckers, T. Hales, F. Loeser
The purpose of this paper is to explain how the identities of various fundamental lemmas fall within the scope of the transfer principle, a general result that allows to transfer t…
-minimality
R. Cluckers, F. Loeser
We introduce a new notion of tame geometry for structures admitting an abstract notion of balls. The notion is named b-minimality and is based on definable families of points and b…