Linear operators preserving volume polynomials
Algebraic Geometry
2026-01-21 v2 Combinatorics
Abstract
We study linear operators preserving the property of being a volume polynomial. More, precisely we show that a linear operator preserves this property if the associated symbol is itself a volume polynomial. This can be seen as an analogue to theorems by Borcea-Br\"and\'en and Br\"and\'en-Huh for stable polynomials and Lorentzian polynomials, respectively.
Keywords
Cite
@article{arxiv.2503.18146,
title = {Linear operators preserving volume polynomials},
author = {Lukas Grund and Hendrik Süß},
journal= {arXiv preprint arXiv:2503.18146},
year = {2026}
}
Comments
11 pages, this manuscript is now superseded by arXiv:2506.22415