{ "id": "1912.07727", "version": "v1", "published": "2019-12-16T22:03:23.000Z", "updated": "2019-12-16T22:03:23.000Z", "title": "Codimension one foliations with trivial canonical class on singular spaces II", "authors": [ "Stéphane Druel", "Wenhao Ou" ], "categories": [ "math.AG" ], "abstract": "In this article, we give the structure of codimension one foliations with canonical singularities and numerically trivial canonical class on varieties with klt singularities. Building on recent works of Spicer, Cascini - Spicer and Spicer - Svaldi, we then describe the birational geometry of rank two foliations with canonical singularities and canonical class of numerical dimension zero on complex projective threefolds.", "revisions": [ { "version": "v1", "updated": "2019-12-16T22:03:23.000Z" } ], "analyses": { "subjects": [ "37F75" ], "keywords": [ "singular spaces", "foliations", "codimension", "canonical singularities", "klt singularities" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }