Acta Mathematica Vietnamica
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Arithmetical Rank of a Squarefree Monomial Ideal whose Alexander Dual is of Deviation Two
Kyouko Kimura , Naoki Terai , Ken-ichi Yoshidapp. 375-391
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.