33 citations · 58 across the 4 of their papers we have counts for
4 papers
Hensel minimality I
Raf Cluckers, Immanuel Halupczok, Silvain Rideau-Kikuchi
We present a framework for tame geometry on Henselian valued fields which we call Hensel minimality. In the spirit of o-minimality, which is key to real geometry and several diopha…
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…
Local metric properties and regular stratifications of p-adic definable sets
R. Cluckers, G. Comte, F. Loeser
We study the geometry of germs of definable (semialgebraic or subanalytic) sets over a -adic field from the metric, differential and measure geometric point of view. We prove th…
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…