Algebraic approximation and the decomposition theorem for Kahler Calabi-Yau varieties

• 成果类型: Article
• 署名作者: Bakker, Benjamin; Guenancia, Henri; Lehn, Christian
• 署名单位: University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital; Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Universite Federale Toulouse Midi-Pyrenees (ComUE); Institut National des Sciences Appliquees de Toulouse; Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Centre National de la Recherche Scientifique (CNRS); Technische Universitat Chemnitz
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-022-01096-y
• 发表日期: 2022
• 页码: 1255-1308
• 关键词: trivial canonical class; 1st chern class; differential forms; singular spaces; complex; deformations; extension; quotients; MANIFOLDS

摘要

We extend the decomposition theorem for numerically K-trivial varieties with log terminal singularities to the Kahler setting. Along the way we prove that all such varieties admit a strong locally trivial algebraic approximation, thus completing the numerically K-trivial case of a conjecture of Campana and Peternell.