English

Push-forward of smooth measures and strong Thom stratifications

Algebraic Geometry 2026-01-13 v2

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. This criterion is formulated in terms of a canonical subvariety of the cotangent bundle of the source of the map.

Keywords

Cite

@article{arxiv.2512.24034,
  title  = {Push-forward of smooth measures and strong Thom stratifications},
  author = {Avraham Aizenbud and Nir Avni and Shachar Carmeli},
  journal= {arXiv preprint arXiv:2512.24034},
  year   = {2026}
}