A Generalized Hochster’s Formula for Local Cohomologies of Monomial Ideals
نویسنده
چکیده
The Hilbert series of local cohomologies for monomial ideals, which are not necessarily square-free, is established. As applications, we give a sharp lower bound of the non-vanishing degree of local cohomologies and also a sharp lower bound of the positive integer k of k-Buchsbaumness for generalized CohenMacaulay monomial ideals.
منابع مشابه
Combinatorial Characterizations of Generalized Cohen-macaulay Monomial Ideals
We give a generalization of Hochster’s formula for local cohomologies of square-free monomial ideals to monomial ideals, which are not necessarily square-free. Using this formula, we give combinatorial characterizations of generalized Cohen-Macaulay monomial ideals. We also give other applications of the generalized Hochster’s formula.
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