paper

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

arXiv:1107.0563

Abstract

Let be a squarefree monomial ideal of a polynomial ring . In this paper, we prove that the arithmetical rank of is equal to the projective dimension of when one of the following conditions is satisfied: (1) ; (2) $\arithdeg I \leq 4$.

22 pages, to appear in Communications in Algebra

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