{"paper":{"title":"The Noether exponent and Jacobi formula","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"Arkadiusz P{\\l}oski","submitted_at":"1993-05-19T07:42:51Z","abstract_excerpt":"For any polynomial mapping $F=(F_1,\\dots ,F_n)$ of $\\Cal C^n$ with a finite number of zeros we define the Noether exponent $\\nu(F)$. We prove the Jacobi formula for all polynomials of degree strictly less than $\\sum_{i=1}^n (\\deg F_i-1)-\\nu(F)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9305006","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"}