{"paper":{"title":"Extremal omega-plurisubharmonic functions as envelopes of disc functionals - Generalization and applications to the local theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Benedikt Steinar Magnusson","submitted_at":"2011-03-22T16:23:39Z","abstract_excerpt":"We generalize the Poletsky disc envelope formula for the function $\\sup \\{u \\in \\PSH(X,\\omega) ; u\\leq \\phi\\}$ on any complex manifold $X$ to the case where the real (1,1)-current $\\omega=\\omega_1-\\omega_2$ is the difference of two positive closed (1,1)-currents and $\\phi$ is the difference of an $\\omega_1$-upper semicontinuous function and a plurisubharmonic function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4297","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"}