{"paper":{"title":"Rees Algebras and Almost Linearly Presented Ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Jacob A. Boswell, Vivek Mukundan","submitted_at":"2015-05-19T01:58:58Z","abstract_excerpt":"Consider a grade 2 perfect ideal $I$ in $R=k[x_1,\\cdots,x_d]$ which is generated by forms of the same degree. Assume that the presentation matrix $\\varphi$ is almost linear, that is, all but the last column of $\\varphi$ consist of entries which are linear. For such ideals, we find explicit forms of the defining ideal of the Rees algebra $\\mathcal{R}(I)$. We also introduce the notion of iterated Jacobian duals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04851","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"}