83 citations · 234 across the 23 of their papers we have counts for
23 papers
An orbifold formula for algebraic stacks
François Loeser, Arthur Forey, Dimitri Wyss
We study motivic integration on varieties that are birational to smooth algebraic stacks and prove a generalization of the orbifold formula for varieties with finite quotient singu…
Nash structure of curves over a valued field and tame henselian rationality
Antoine Ducros, François Loeser
We provide a new proof, model-theoretic and geometric in nature, of the tame henselian rationality theorem of Kuhlmann. The proof takes place within the framework of stable complet…
A motivic Fundamental Lemma
Arthur Forey, François Loeser, Dimitri Wyss
In this paper we prove motivic versions of the Langlands-Shelstad Fundamental Lemma and Ngô's Geometric Stabilization. To achieve this, we follow the strategy from the recent proof…
Tropical functions on a skeleton
Antoine Ducros, Ehud Hrushovski, François Loeser +1
We prove a general finiteness statement for the ordered abelian group of tropical functions on skeleta in Berkovich analytifications of algebraic varieties. Our approach consists i…
Motivic Integration on the Hitchin Fibration
François Loeser, Dimitri Wyss
We prove that the moduli spaces of twisted and -Higgs bundles on a smooth projective curve have the same (stringy) class in the Grothendieck ring of…
Non-archimedean integrals as limits of complex integrals
A. Ducros, E. Hrushovski, F. Loeser
We explain how non-archimedean integrals considered by Chambert-Loir and Ducros naturally arise in asymptotics of families of complex integrals. To perform this analysis we work ov…