{"paper":{"title":"The homotopy type of spaces of coprime polynomials revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Andrzej Kozlowski, Kohhei Yamaguchi","submitted_at":"2014-05-04T07:56:19Z","abstract_excerpt":"The purpose of this paper is to study the topology of certain toric varieties $X_I$, arising as quotients of the action of $\\C^*$ on complements of arrangements of coordinate subspaces in $\\C^n$, and to improve the homotopy stability dimension for the inclusion map $i_d:\\Hol_d^*(S^2,X_I)\\to \\Map_d^*(S^2,X_I)$ given in \\cite{GKY1} by using spectral sequences induced from simplicial resolutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0662","kind":"arxiv","version":2},"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"}