{"paper":{"title":"Preperiodic points for families of polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.NT"],"primary_cat":"math.DS","authors_text":"Dragos Ghioca, Liang-Chung Hsia, Thomas Tucker","submitted_at":"2011-02-14T13:49:42Z","abstract_excerpt":"Let $a(\\lambda)$ and $b(\\lambda)$ be two polynomials with coefficients in complex numbers and let $f_{\\lamb$ be a one-parameter family of polynomials indexed by all complex numbers $\\lambda$. We study whether there exist infinitely many complex numbers $\\lambda$ such that both $a(\\lambda)$ and $b(\\lambda)$ are preperiodic for $f_{\\lambda}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.2769","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"}