Brodmann, Markus; Jahangiri, Maryam Tame loci of certain local cohomology modules. (English) Zbl 1237.13036 J. Commut. Algebra 4, No. 1, 79-100 (2012). Summary: Let \(M\) be a finitely generated graded module over a Noetherian homogeneous ring \(R = \bigoplus_{n \in \mathbb{N}_0}R_n\). For each \(i \in \mathbb{N}_0\) let \(H^i_{R_{+}}(M)\) denote the \(i\)-th local cohomology module of \(M\) with respect to the irrelevant ideal \(R_+ = \bigoplus_{n > 0} R_n\) of \(R\), furnished with its natural grading. We study the tame loci \(\mathfrak t^i(M)^{\leq 3}\) at level \(i \in \mathbb{N}_0\) in codimension \(\leq 3\) of \(M\), that is the sets of all primes \(\mathfrak p_0 \subset R_0\) of height \(\leq 3\) such that the graded \(R_{\mathfrak p_0}\)-modules \(H^i_{R_{+}}(M)_{\mathfrak p_0}\) are tame. Cited in 1 Document MSC: 13D45 Local cohomology and commutative rings PDFBibTeX XMLCite \textit{M. Brodmann} and \textit{M. Jahangiri}, J. Commut. Algebra 4, No. 1, 79--100 (2012; Zbl 1237.13036) Full Text: DOI arXiv Euclid