{"paper":{"title":"Integral Subschemes of Codimension Two","license":"","headline":"","cross_cats":["math.AC","math.AG"],"primary_cat":"alg-geom","authors_text":"Scott Nollet","submitted_at":"1995-04-15T20:38:26Z","abstract_excerpt":"In this paper we study the problem of describing the integral subschemes within a fixed even linkage class $\\L$ of subschemes in $\\Pn$ of codimension two. In the case that $\\L$ is not the class of arithmetically Cohen-Macaulay subschemes, we associate to any $X \\in \\L$ two invariants $\\theta_X$ and $\\eta_X$. When taken with the height $h_X$, each of these invariants determines the location of $X$ in $\\L$, thought of as a poset under domination. In terms of these invariants, necessary conditions are given for integral subschemes. The necessary conditions are almost sufficient in the sense that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9504008","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"}