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Arithmetical rank of squarefree monomial ideals generated by five
elements or with arithmetic degree four
release_rev_245f213b-9369-4c12-9809-4203bfbeedf7
by
Kyouko Kimura, Giancarlo Rinaldo, Naoki Terai
Released
as a article
.
2011
Abstract
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 the following conditions is satisfied: (1) μ
(I) ≤ 5; (2) I ≤ 4.
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arXiv
1107.0563v1
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