Arithmetical Rank of a Squarefree Monomial Ideal whose Alexander Dual is of Deviation Two
Kyouko Kimura
,
Naoki Terai
,
Ken-ichi Yoshida
Abstract
In this paper, we prove that the arithmetical rank of a squarefree monomial ideal $I$ of a polynomial ring $S$ is equal to the projective dimension of $S/I$ when $\mathrm{arithdeg\,} I - \mathrm{indeg\,} I = 2$ and $I$ has a linear resolution.