{"paper":{"title":"Complete Intersections K-Theory and Chern Classes","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"Institute of Mathematical Sciences, Kansas, Lawrence, Madras), Satya Mandal (University of Kansas","submitted_at":"1996-05-23T09:25:26Z","abstract_excerpt":"Throughout this abstruct $A$ will denote a noetherian commutative ring of dimension $n$. The paper has two parts. Among the interesting results in Part-1 are the following: 1) {\\it suppose that $f_1, f_2, ..., f_r$ (with $r \\leq n$) is a regular sequence in $A$ and suppose $Q$ is a projective $A$-module of rank $r$ that maps onto the ideal $(f_1, f_2, ..., f_{r-1},f_r^{(r-1)!})$. Then $[Q]=[Q_0 \\oplus A]$ in $K_0(A)$ for some projective $A-module~Q_0$ of rank $r-1$.} 2) The set $$F_0K_0(A) = \\{[A/I] \\in K_0(A): I~ is~ a~ locally~ complete ~intersection~ ideal~ in~ A~ of~ height~n \\}$$ is a {\\i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9605012","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/alg-geom/9605012/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}