{"paper":{"title":"Implicitization of de Jonqui\\`eres parametrizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Aron Simis, Seyed Hamid Hassanzadeh","submitted_at":"2012-05-05T00:38:25Z","abstract_excerpt":"One introduces a class of projective parameterizations that resemble generalized de Jonqui\\`eres maps. Any such parametrization defines a birational map $\\mathfrak{F}$ of $\\pp^n$ onto a hypersurface $V(F)\\subset \\pp^{n+1}$ with a strong handle to implicitization. From this side, the theory here developed extends recent work of Ben\\ii tez--D'Andrea on monoid parameterizations. The paper deals with both ideal theoretic and effective aspects of the problem. The ring theoretic development gives information on the Castelnuovo--Mumford regularity of the base ideal of $\\mathfrak{F}$. From the effecti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1083","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"}