{"paper":{"title":"Conic singularities metrics with prescribed Ricci curvature: the case of general cone angles along normal crossing divisors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"Henri Guenancia, Mihai P\\u{a}un","submitted_at":"2013-07-24T10:43:30Z","abstract_excerpt":"Let $X$ be a non-singular compact K\\\"ahler manifold, endowed with an effective divisor $D= \\sum (1-\\beta_k) Y_k$ having simple normal crossing support, and satisfying $\\beta_k \\in (0,1)$. The natural objects one has to consider in order to explore the differential-geometric properties of the pair $(X, D)$ are the so-called metrics with conic singularities. In this article, we complete our earlier work \\cite{CGP} concerning the Monge-Amp\\`ere equations on $(X, D)$ by establishing Laplacian and ${\\mathscr C}^{2,\\alpha, \\beta}$ estimates for the solution of this equations regardless to the size o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6375","kind":"arxiv","version":4},"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"}