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Lyubeznik numbers of monomial ideals
Lyubeznik numbers monomial ideals Commutative Algebra
2011/9/21
Abstract: We study Bass numbers of local cohomology modules supported on squarefree monomial ideals paying special attention to Lyubeznik numbers. We build a dictionary between local cohomology module...
Cohen-Macaulayness of generically complete intersection monomial ideals
Cohen-Macaulay generically complete intersection monomial ideals Commutative Algebra
2011/9/20
Abstract: In this paper we discuss the problem of characterizing the Cohen-Macaulay property of certain families of monomial ideals with fixed radical. More precisely, we consider generically complete...
Depth and minimal number of generators of square free monomial ideals
Monomial Ideals Depth Stanley depth Commutative Algebra
2011/9/5
Abstract: Let $I$ be an ideal of a polynomial algebra $S$ over a field generated by square free monomials of degree $\geq d$. If $I$ contains more monomials of degree $d$ than $(d+1)/d$ of the total n...
Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four
monomial ideal, arithmetical rank, projective dimension
2011/8/24
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 follo...