Rees algebra and special fiber ring of binomial edge ideals of closed graphs
arXiv:2102.03348
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.
arXiv commentSuggestions and comments are welcome. 9 pages Accepted for publication in Illinois Journal of Mathematics