{"paper":{"title":"Asymptotically cylindrical steady K\\\"ahler-Ricci solitons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Johannes Sch\\\"afer","submitted_at":"2021-03-23T15:35:57Z","abstract_excerpt":"Let $D$ be a compact K\\\"ahler manifold with trivial canonical bundle and $\\Gamma$ be a finite cyclical group of order $m$ acting on $\\mathbb{C} \\times D$ by biholomorphisms, where the action on the first factor is generated by rotation of angle $2\\pi /m$. Furthermore, suppose that $\\Omega_D$ is a trivialisation of the canonical bundle such that $\\Gamma$ preserves the holomorphic form $dz \\wedge \\Omega_D$ on $\\mathbb C \\times D$, with $z$ denoting the coordinate on $\\mathbb{C}$. The main result of this article is the construction of new examples of gradient steady K\\\"ahler-Ricci solitons on cer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.12629","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.12629/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}