Gr\"obner bases for staged trees
Commutative Algebra
2021-04-21 v1 Algebraic Geometry
Computation
Abstract
In this article we consider the problem of finding generators of the toric ideal associated to a combinatorial object called a staged tree. Our main theorem states that toric ideals of staged trees that are balanced and stratified are generated by a quadratic Gr\"obner basis whose intial terms are squarefree. The proof of this result is based on Sullivant's toric fiber product construction.
Cite
@article{arxiv.1910.02721,
title = {Gr\"obner bases for staged trees},
author = {Lamprini Ananiadi and Eliana Duarte},
journal= {arXiv preprint arXiv:1910.02721},
year = {2021}
}
Comments
17 pages, 3 figures