Title: Push-Forward of Smooth Measures

Abstract: We study the collection of measures obtained via push-forward along a map between smooth varieties over p-adic fields. We investigate when the stalks of this collection are finite-dimensional. We provide an algebro-geometric criterion ensuring this property. A classical example of such finiteness is the Chevalley map from a reductive group G to the categorical quotient G//G, where the finiteness is given by Shalika germs.

J/W
S. Carmeli and N. Avni