2005/08/04 by Jean-Marie Trépreau, Trépreau, Jean-Marie
Mathematics · #53A60 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53A60
paper · pdf · doi:10.48550/arxiv.math/0508095
arxiv created 2005/08/04 · arxiv updated 2009/12/01
We prove that a d-web near a point in n-space, where n is greater than 2 and d is greater than 2n-1, is equivalent to an algebraic web, if it has maximal rank or, more generally, if it has (2d - 3n + 1) abelian relations the 1-jets of which are linearly independent. In case n=3, this is a theorem of Bol. The general case answers a question of Chern and Griffiths.