{"paper":{"title":"A Note on Associated Primes and Bockstein Homomorphisms of Local Cohomology Modules for Ramified Regular Local Rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Rajsekhar Bhattacharyya","submitted_at":"2015-12-17T17:38:17Z","abstract_excerpt":"For a Noetherian regular ring $S$ and for a fixed ideal $J\\subset S$, assume that the associated primes of local cohomology module $H^i_J(S)$ does not contain $p$ for some $i\\geq 0$, and we call this as a property $\\textit{\\textbf{P}}^{i,p}_{J,S}$ or $\\textit{\\textbf{P}}$ for brevity. Recently, in Theorem 1.2 of \\cite{Nu1}, it is proved that in a Noetherian regular local ring $S$ and for a fixed ideal $J\\subset S$, associated primes of local cohomology module $H^i_J(S)$ for $i\\geq 0$ is finite, if it does not contain $p$. In this paper, we study how the property $\\textit{\\textbf{P}}$ (as menti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05686","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"}