Rees algebra and special fiber ring of binomial edge ideals of closed graphs
Commutative Algebra
2021-12-07 v2
Abstract
In this article, we compute the regularity of Rees algebra of binomial edge ideals of closed graphs. We obtain a lower bound for the regularity of Rees algebra of binomial edge ideals. We also study some algebraic properties of the Rees algebra and special fiber ring of binomial edge ideals of closed graphs via algebraic properties of their initial algebra and Sagbi basis theory. We obtain an upper bound for the regularity of the special fiber ring of binomial edge ideals of closed graphs.
Cite
@article{arxiv.2102.03348,
title = {Rees algebra and special fiber ring of binomial edge ideals of closed graphs},
author = {Arvind Kumar},
journal= {arXiv preprint arXiv:2102.03348},
year = {2021}
}
Comments
Suggestions and comments are welcome. 9 pages Accepted for publication in Illinois Journal of Mathematics