Giancarlo Rinaldo

most citedCohen--Macaulaynees for symbolic power ideals of edge ideals

4 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2012★ 2 cited

Construction of Cohen-Macaulay binomial edge ideals

Asia Rauf, Giancarlo Rinaldo

We discuss algebraic and homological properties of binomial edge ideals associated to graphs which are obtained by gluing of subgraphs and the formation of cones.

math.AC2012

On the second powers of Stanley-Reisner ideals

Giancarlo Rinaldo, Naoki Terai, Ken-ichi Yoshida

In this paper, we study several properties of the second power $I_{Δ}^{2}$ of a Stanley-Reisner ideal $I_{Δ}$ of any dimension. As the main result, we prove that $S / I_{Δ}$ is Gorenstein wh…

math.AC2012★ 4 cited

Cohen--Macaulaynees for symbolic power ideals of edge ideals

Giancarlo Rinaldo, Naoki Terai, Ken-ichi Yoshida

Let $S = K [x_{1}, ..., x_{n}]$ be a polynomial ring over a field $K$ . Let $I (G) \subseteq S$ denote the edge ideal of a graph $G$ . We show that the $ℓ$ th symbolic power $I(G)^{(\ell)…