2008/12/11 by S. Ivashkovich, Ivashkovich, S.
Mathematics · #32D20 #32M25 #32S65 (Secondary) #37F75 (Primary) #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.CV #math.DS #msc:32D20 #msc:32M25 #msc:32S65 #msc:37F75
paper · pdf · doi:10.48550/arxiv.0812.2114
65 pages, 9 figures. A Section about pluriexact foliatins added. To appear in GAFA
openalex publication_date 2008/12/11 · arxiv created 2010/08/31 · arxiv updated 2010/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this paper is the study of vanishing cycles in holomorphic foliations by complex curves on compact complex manifolds. The main result consists in showing that a vanishing cycle comes together with a much richer complex geometric object - we call this object a foliated shell.