{"paper":{"title":"Geometric models for fibrant resolutions of motivic suspension spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andrei Druzhinin","submitted_at":"2018-11-27T16:45:06Z","abstract_excerpt":"We construct geometric models for the $\\mathbb P^1$-spectrum $M_{\\mathbb P^1}(Y)$, which computes in Garkusha-Panin's theory of framed motives \\cite{GP14} a positively motivically fibrant $\\Omega_{\\mathbb P^1}$ replacement of $\\Sigma_{\\mathbb P^1}^\\infty Y$ for a smooth scheme $Y\\in \\Sm_k$ over a perfect field $k$. Namely, we get the $T$-spectrum in the category of pairs of smooth ind-schemes that defines $\\mathbb P^1$-spectrum of pointed sheaves termwise motivically equivalent to $M_{\\mathbb P^1}(Y)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11086","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"}