Local Cohomology and Degree Complexes of Monomial Ideals

Jonathan L. O'Rourke

This paper examines the dimension of the graded local cohomology $H_{\mathfrak{m}}^p(S/K^s{)}_{\gamma }$ and $H_{\mathfrak{m}}^p(S/K^{(s)})$ for a monomial ideal $K$. This information is encoded…