{"paper":{"title":"The classification of some polynomial maps with nilpotent Jacobians","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dan Yan, Michiel de Bondt","submitted_at":"2017-10-11T11:18:20Z","abstract_excerpt":"In the paper, we first classify all polynomial maps $H$ of the following form: $H=\\big(H_1(x_1,x_2,\\ldots,x_n),H_2(x_1,x_2),H_3(x_1,x_2),\\ldots,H_n(x_1,x_2)\\big)$ with $JH$ nilpotent. After that, we generalize the structure of $H$ to $H=\\big(H_1(x_1,x_2,\\ldots,x_n),H_2(x_1,x_2),H_3(x_1,x_2,H_1),\\ldots,H_n(x_1,x_2,H_1)\\big)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04210","kind":"arxiv","version":3},"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"}