English

On tameness of zonoids

Metric Geometry 2021-01-26 v2 Algebraic Geometry

Abstract

We prove that in a globally subanalytic family of convex bodies the set of zonoids is log-analytic, and in particular it is definable in the o-minimal structure generated by globally subanalytic sets and the graph of the exponential function.

Keywords

Cite

@article{arxiv.2011.10598,
  title  = {On tameness of zonoids},
  author = {Antonio Lerario and Léo Mathis},
  journal= {arXiv preprint arXiv:2011.10598},
  year   = {2021}
}
R2 v1 2026-06-23T20:24:18.868Z