2016/01/01 by Thomas Eckl, Eckl, Thomas, Michael Lönne +1
Mathematics · #32M25 #32S65 #37F75 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1601.00090
openalex publication_date 2016/01/01 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
We show that the topological equivalence class of holomorphic foliation germs\nwith an isolated singularity of Poincar 'e type is determined by the\ntopological equivalence class of the real intersection foliation of the\n(suitably normalized) foliation germ with a sphere centered in the singularity.\nWe use this Reconstruction Theorem to completely classify topological\nequivalence classes of plane holomorphic foliation germs of Poincar 'e type and\ndiscuss a conjecture on the classification in dimension \≥ 3.\n