{"paper":{"title":"Examples of rank two aCM bundles on smooth quartic surfaces in $\\mathbb{P}^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Gianfranco Casnati, Roberto Notari","submitted_at":"2016-01-12T15:25:48Z","abstract_excerpt":"Let $F\\subseteq\\mathbb{P}^3$ be a smooth quartic surface and let $\\mathcal{O}_F(h):=\\mathcal{O}_{\\mathbb{P}^3}(1)\\otimes\\mathcal{O}_F$. In the present paper we classify locally free sheaves $\\mathcal{E}$ of rank $2$ on $F$ such that $c_1(\\mathcal{E})=\\mathcal{O}_F(2h)$, $c_2(\\mathcal{E})=8$ and $h^1\\big(F,\\mathcal{E}(th)\\big)=0$ for $t\\in\\mathbb{Z}$. We also deal with their stability."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02907","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"}