Algebraic integrability of foliations with numerically trivial canonical bundle

• 成果类型: Article
• 署名作者: Horing, Andreas; Peternell, Thomas
• 署名单位: Universite Cote d'Azur; Centre National de la Recherche Scientifique (CNRS); University of Bayreuth
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-018-00853-2
• 发表日期: 2019
• 页码: 395-419
• 关键词: singular spaces

摘要

Given a reflexive sheaf on a mildly singular projective variety, we prove a flatness criterion under certain stability conditions. This implies the algebraicity of leaves for sufficiently stable foliations with numerically trivial canonical bundle such that the second Chern class does not vanish. Combined with the recent works of Druel and Greb-Guenancia-Kebekus this establishes the Beauville-Bogomolov decomposition for minimal models with trivial canonical class.