{"paper":{"title":"Invariants of plane curve singularities and Newton diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arkadiusz P{\\l}oski, Pierrette Cassou-Nogu\\`es","submitted_at":"2012-07-06T12:15:22Z","abstract_excerpt":"We present an intersection-theoretical approach to the invariants of plane curve singularities $\\mu$, $\\delta$, $r$ related by the Milnor formula $2\\delta=\\mu+r-1$. Using Newton transformations we give formulae for $\\mu$, $\\delta$, $r$ which imply planar versions of well-known theorems on nondegenerate singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1600","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"}