K-polynomials of multiplicity-free varieties
Algebraic Geometry
2025-06-13 v3 Commutative Algebra
Combinatorics
Abstract
We describe the twisted -polynomial of multiplicity-free varieties in a multiprojective setting. More precisely, for multiplicity-free varieties, we show that the support of the twisted -polynomial is a generalized polymatroid. As applications, we show that the support of the M\"obius function of a linear polymatroid is a generalized polymatroid, and we settle a conjecture of Monical, Tokcan and Yong regarding Grothendieck polynomials for the case of zero-one Schubert polynomials.
Keywords
Cite
@article{arxiv.2212.13091,
title = {K-polynomials of multiplicity-free varieties},
author = {Federico Castillo and Yairon Cid-Ruiz and Fatemeh Mohammadi and Jonathan Montaño},
journal= {arXiv preprint arXiv:2212.13091},
year = {2025}
}