7 citations · 23 across the 7 of their papers we have counts for
6 papers · 1 filter
Motivic, logarithmic, and topological Milnor fibrations
Jean-Baptiste Campesato, Goulwen Fichou, Adam Parusinski
We compare the topological Milnor fibration and the motivic Milnor fibre of a regular complex function with only normal crossing singularities by introducing their common extension…
Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
Jean-Baptiste Campesato, Toshizumi Fukui, Krzysztof Kurdyka +1
We investigate connections between Lipschitz geometry of real algebraic varieties and properties of their arc spaces. For this purpose we develop motivic integration in the real al…
Complete classification of Brieskorn polynomials up to the arc-analytic equivalence
Jean-Baptiste Campesato
It has been recently proved that the arc-analytic type of a singular Brieskorn polynomial determines its exponents. This last result may be seen as a real analogue of a theorem by…
On the arc-analytic type of some weighted homogeneous polynomials
Jean-Baptiste Campesato
It is known that the weights of a complex weighted homogeneous polynomial with isolated singularity are analytic invariants of . When this resu…
On a motivic invariant of the arc-analytic equivalence
Jean-Baptiste Campesato
To a Nash function germ, we associate a zeta function similar to the one introduced by J. Denef and F. Loeser. Our zeta function is a formal power series with coefficients in the G…
An inverse mapping theorem for blow-Nash maps on singular spaces
Jean-Baptiste Campesato
A semialgebraic map between two real algebraic sets is called blow-Nash if it can be made Nash (i.e. semialgebraic and real analytic) by composing with finitely many blo…