{"paper":{"title":"A Generalization of the Kodaira Vanishing and Embedding Theorem","license":"","headline":"","cross_cats":["dg-ga","math.AG","math.DG"],"primary_cat":"alg-geom","authors_text":"Ying Zhu","submitted_at":"1995-02-02T17:42:10Z","abstract_excerpt":"We give several generalizations of the Kodaira vanishing and embedding theorems for K\\\"ahler manifolds to the case where the relevent line bundle has a small region of negative curvature.  To prove the vanishing theorems we adapt techniques of Elworthy-Rosenberg for vanishing theorems in Riemannian geometry.  For the embedding theorem, we show that a K\\\"ahler manifold with a mostly positive line bundle is Moishezon, since the usual blow up techniques do not work in our situation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9502002","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"}