K. Kimura

most citedArithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four

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math.AC2011★ 1 cited

Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four

Kyouko Kimura, Giancarlo Rinaldo, Naoki Terai

Let $I$ be a squarefree monomial ideal of a polynomial ring $S$ . In this paper, we prove that the arithmetical rank of $I$ is equal to the projective dimension of $S / I$ when one of…

math.AC2011

Depth of initial ideals of normal edge rings

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

Let $G$ be a finite graph on the vertex set $[d] = {1, ..., d}$ with the edges $e_{1}, ..., e_{n}$ and $K[\tb] = K[t_1, ..., t_d]$ the polynomial ring in $d$ variables over a field…