2014/11/04 by Jean-Paul Dufour, Daniel Lehmann, Dufour, Jean-Paul +1
Mathematics · #14C21 #53A60 #Advanced Differential Equations and Dynamical Systems #Differential Geometry (math.DG) #FOS: Mathematics #Meromorphic and Entire Functions #math.DG #msc:14C21 #msc:53A60
paper · pdf · doi:10.48550/arxiv.1411.0910
in french
arxiv created 2014/11/04 · openalex publication_date 2014/11/04 · arxiv updated 2014/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we define, from a finite set E of functions, a family of holomorphic webs \cal W(n;E) of codimension one in any dimension n . We prove that it is sufficient to check a finite number of conditions for these webs to be all ordinary and to have all maximal rank. Moreover, these conditions may be practically checked by computer with the program on Maple published in [DL](arXiv1408.3909v1, DG, 18 August 2014), the time of computation being acceptable, as far as some integer k0 given in the data be "not too big".