{"paper":{"title":"Interpolation in non-positively curved K\\\"ahler manifolds","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"Christophe Mourougane","submitted_at":"2001-03-07T15:11:21Z","abstract_excerpt":"We extend to any simply connected K\\\"ahler manifold with non-positive sectional curvature some conditions for interpolation in $\\mathbb{C}$ and in the unit disk given by Berndtsson, Ortega-Cerd\\`a and Seip. The main tool is a comparison theorem for the Hessian in K\\\"ahler geometry due to Greene, Wu and Siu, Yau."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0103045","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"}