The Rees algebra of a two-Borel ideal is Koszul
Commutative Algebra
2017-06-26 v1 Combinatorics
Abstract
Let and be two monomials of the same degree, and let be the smallest Borel ideal containing and . We show that the toric ring of is Koszul by constructing a quadratic Gr\"obner basis for the associated toric ideal. Our proofs use the construction of graphs corresponding to fibers of the toric map. As a consequence, we conclude that the Rees algebra is also Koszul.
Cite
@article{arxiv.1706.07462,
title = {The Rees algebra of a two-Borel ideal is Koszul},
author = {Michael DiPasquale and Christopher A. Francisco and Jeffrey Mermin and Jay Schweig and Gabriel Sosa},
journal= {arXiv preprint arXiv:1706.07462},
year = {2017}
}
Comments
13 pages