Gotzmann Monomials In Four Variables
Commutative Algebra
2021-08-19 v1 Combinatorics
Abstract
It is a widely open problem to determine which monomials in the n-variable polynomial ring over a field have the Gotzmann property, i.e. induce a Borel-stable Gotzmann monomial ideal. Since 2007, only the case was known. Here we solve the problem for the case . The solution involves a surprisingly intricate characterization.
Keywords
Cite
@article{arxiv.1907.05622,
title = {Gotzmann Monomials In Four Variables},
author = {V Bonanzinga and Shalom Eliahou},
journal= {arXiv preprint arXiv:1907.05622},
year = {2021}
}