Strongly robust toric ideals in codimension 2
Commutative Algebra
2017-04-03 v2 Combinatorics
Abstract
A homogeneous ideal is robust if its universal Gr\"obner basis is also a minimal generating set. For toric ideals, one has the stronger definition: A toric ideal is strongly robust if its Graver basis equals the set of indispensable binomials. We characterize the codimension 2 strongly robust toric ideals by their Gale diagrams. This gives a positive answer to a question of Petrovic, Thoma, and Vladoiu in the case of codimension 2 toric ideals.
Cite
@article{arxiv.1610.07476,
title = {Strongly robust toric ideals in codimension 2},
author = {Seth Sullivant},
journal= {arXiv preprint arXiv:1610.07476},
year = {2017}
}
Comments
7 pages, 1 figure