{"paper":{"title":"A classification theorem on Fano bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gianluca Occhetta, Luis E. Sol\\'a Conde, Roberto Mu\\~noz","submitted_at":"2012-04-21T09:22:30Z","abstract_excerpt":"In this paper we classify rank two Fano bundles $\\cE$ on Fano manifolds satisfying $H^2(X,\\Z)\\cong H^4(X,\\Z)\\cong\\Z$. The classification is obtained via the computation of the nef and pseudoeffective cones of the projectivization ${\\mathbb{P}}(\\cE)$, that allows us to obtain the cohomological invariants of $X$ and $\\cE$. As a by-product we discuss Fano bundles associated to congruences of lines, showing that their varieties of minimal rational tangents may have several linear components."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4793","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"}