{"paper":{"title":"Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"Marc Coppens, Takao Kato","submitted_at":"1992-04-02T17:28:22Z","abstract_excerpt":"Let $\\Gamma$ be a plane curve of degree $d$ with $\\delta$ ordinary nodes and no other singularities. If $P$ is a smooth point on $\\Gamma$ then the Weierstrass gap sequence at $P$ is considered as that at the corresponding point on the normalization of $\\Gamma$. A smooth point $P\\in\\Gamma$ is called a total inflection point if $i(\\Gamma ,T;P)=d$ where $T$ is the tangent line to $\\Gamma$ at $P$. There are many possible Weierstrass gap sequences at total inflection points. Our main results are: Among them (1) There exists a pair $(P,\\Gamma )$ such that the gap sequence at $P$ is the minimal (in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9204001","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"}