{"paper":{"title":"Doubling construction of Calabi-Yau fourfolds from toric Fano fourfolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Mamoru Doi, Naoto Yotsutani","submitted_at":"2015-02-01T07:21:21Z","abstract_excerpt":"We give a differential-geometric construction of Calabi-Yau fourfolds by the `doubling' method, which was introduced in \\cite{DY14} to construct Calabi-Yau threefolds. We also give examples of Calabi-Yau fourfolds from toric Fano fourfolds. Ingredients in our construction are \\emph{admissible pairs}, which were first dealt with by Kovalev in \\cite{K03}. Here in this paper an admissible pair $(\\overline{X},D)$ consists of a compact K\\\"{a}hler manifold $\\overline{X}$ and a smooth anticanonical divisor $D$ on $\\overline{X}$. If two admissible pairs $(\\overline{X}_1,D_1)$ and $(\\overline{X}_2,D_2)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00208","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"}