{"paper":{"title":"Tame Loci of Certain Local Cohomology Modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Markus Brodmann, Maryam Jahangiri","submitted_at":"2011-06-18T10:57:13Z","abstract_excerpt":"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 $\\ft^i(M)^{\\leq 3}$ at level $i \\in \\mathbb{N}_0$ in codimension $\\leq 3$ of $M$, that is the sets of all primes $\\fp_0 \\subset R_0$ of height $\\leq 3$ such that the graded $R_{\\fp_0}$-modules $H^i_{R_{+}}(M)_{\\fp_0}$ are tame."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3638","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}