English

A motivic local Cauchy-Crofton formula

Algebraic Geometry 2017-11-13 v1 Logic

Abstract

In this note, we establish a version of the local Cauchy-Crofton formula for definable sets in Henselian discretely valued fields of characteristic zero. It allows to compute the motivic local density of a set from the densities of its projections integrated over the Grassmannian.

Keywords

Cite

@article{arxiv.1711.03811,
  title  = {A motivic local Cauchy-Crofton formula},
  author = {Arthur Forey},
  journal= {arXiv preprint arXiv:1711.03811},
  year   = {2017}
}

Comments

7 pages