{"paper":{"title":"Continuous approximation of quasi-plurisubharmonic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DG"],"primary_cat":"math.CV","authors_text":"Ahmed Zeriahi, Philippe Eyssidieux, Vincent Guedj","submitted_at":"2013-11-12T18:20:04Z","abstract_excerpt":"Let $X$ be a compact K\\\"ahler manifold and $\\theta$ a smooth closed $(1,1)$-real form representing a big cohomology class $\\alpha \\in H^{1,1}(X,\\R)$. The purpose of this note is to show, using pluripotential and viscosity techniques, that any $\\theta$-plurisubharmonic function $\\f$ can be approximated from above by a decreasing sequence of continuous $\\theta$-plurisubharmonic functions with minimal singularities, assuming that there exists a single such function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2866","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"}