{"paper":{"title":"Cokernel bundles and Fibonacci bundles","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Maria Chiara Brambilla","submitted_at":"2005-05-13T17:53:59Z","abstract_excerpt":"We are interested in those bundles $C$ on $\\mathbb{P}^N$ which admit a resolution of the form $$ 0 \\to \\mathbb{C}^s \\otimes E \\xrightarrow{\\mu} \\mathbb{C}^t \\otimes F \\to C \\to 0.$$ In this paper we prove that, under suitable conditions on $(E,F)$, a generic bundle with this form is either simple or canonically decomposable. As applications we provide an easy criterion for the stability of such bundles on $\\mathbb{P}^2$ and we prove the stability when $E = \\mathcal{O}$, $F = \\mathcal{O}(1)$ and $C$ is an exceptional bundle on $\\mathbb{P}^N$ for $N \\geq 2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0505290","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"}