Newton polytopes of dual Schubert polynomials
Combinatorics
2024-11-26 v1
Abstract
The M-convexity of dual Schubert polynomials was first proven by Huh, Matherne, M\'esz\'aros, and St. Dizier in 2022. We give a full characterization of the supports of dual Schubert polynomials, which yields an elementary alternative proof of the M-convexity result, and furthermore strengthens it by explicitly characterizing the vertices of their Newton polytopes combinatorially.
Cite
@article{arxiv.2411.16654,
title = {Newton polytopes of dual Schubert polynomials},
author = {Serena An and Katherine Tung and Yuchong Zhang},
journal= {arXiv preprint arXiv:2411.16654},
year = {2024}
}