{"paper":{"title":"Ricci-flat manifolds of generalized ALG asymptotics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"math.DG","authors_text":"Yuanqi Wang","submitted_at":"2022-12-21T18:57:43Z","abstract_excerpt":"In complex dimensions $\\geq 3$, we provide a geometric existence for generalized ALG complete non-compact Ricci flat K\\\"ahler manifolds with Schwartz decay i.e. metric decay in any polynomial rate to an ALG model $\\mathbb{C}\\times Y$ modulo finite cyclic group action, where $Y$ is Calabi-Yau.\n  Consequently, for any $K3$ surface with a purely non-symplectic automorphism $\\sigma$ of finite order, a K\\\"ahler crepant resolution of the orbifold $\\frac{\\mathbb{C} \\times K3}{\\langle \\sigma \\rangle}$ admits ALG Ricci-flat K\\\"ahler metrics with Schwartz decay. It is known that K\\\"ahler crepant resolut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.11267","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/2212.11267/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"}