paper

Newton polytopes of dual Schubert polynomials

arXiv:2411.16654

Abstract

The M-convexity of dual Schubert polynomials was first proven by Huh, Matherne, Mészáros, 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.

Newton polytopes of dual Schubert polynomials · wovepaper