{"paper":{"title":"A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Risto Korhonen, Tingbin Cao","submitted_at":"2016-01-21T17:17:53Z","abstract_excerpt":"Let $c\\in \\mathbb{C}^{m},$ $f:\\mathbb{C}^{m}\\rightarrow\\mathbb{P}^{n}(\\mathbb{C})$ be a linearly nondegenerate meromorphic mapping over the field $\\mathcal{P}_{c}$ of $c$-periodic meromorphic functions in $\\mathbb{C}^{m}$, and let $H_{j}$ $(1\\leq j\\leq q)$ be $q(>2N-n+1)$ hyperplanes in $N$-subgeneral position of $\\mathbb{P}^{n}(\\mathbb{C}).$ We prove a new version of the second main theorem for meromorphic mappings of hyperorder strictly less than one without truncated multiplicity by considering the Casorati determinant of $f$ instead of its Wronskian determinant. As its applications, we obt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05716","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"}