10 citations · 26 across the 6 of their papers we have counts for
8 papers
Local motivic invariants of rational functions in two variables
Pierrette Cassou-Noguès, Michel Raibaut
Let and be two polynomials in two variables with coefficients in an algebraic closed field of characteristic zero. We consider the rational function . For an indeter…
Analytic holonomicity of real C-class distributions
Avraham Aizenbud, Raf Cluckers, Michel Raibaut +1
We introduce a notion of distributions on , called distributions of C-class, based on wavelet transforms of distributions and the theory from Clucker…
Newton transformations and motivic invariants at infinity of plane curves
Pierrette Cassou-Noguès, Michel Raibaut
In this article we give an expression of the motivic Milnor fiber at infinity and the motivic nearby cycles at infinity of a polynomial in two variables with coefficients in an…
Motivic wave front sets
Michel Raibaut
The concept of wave front set was introduced in 1969-1970 by M. Sato in the hyperfunctions context and by L. Hörmander in the context. Howe used the theory of…
On the commutativity of pull-back and push-forward functors on motivic constructible functions
Jorge Cely, Michel Raibaut
In this article, we study the commutativity between the pull-back and the push-forward functors on constructible functions in Cluckers--Loeser motivic integration.
Motivic and analytic nearby fibers at infinity and bifurcation sets
Lorenzo Fantini, Michel Raibaut
In this paper we use motivic integration and non-archimedean analytic geometry to study the singularities at infinity of the fibers of a polynomial map $f\colon \mathbb A^d_\mathbb…
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…
Stringy invariants for horospherical varieties of complexity one
Kevin Langlois, Clélia Pech, Michel Raibaut
In this paper we determine the stringy motivic volume of log terminal horospherical -varieties of complexity one, where is a connected reductive linear algebraic group. The…