2011/05/06 by Sergey I. Agafonov, Sergey Agafonov, Agafonov, Sergey +1
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Mathematics and Applications #math.CV #math.DG #msc:32S65 #msc:53A60
paper · pdf · doi:10.48550/arxiv.1105.1402
33 pages, 2 figures
arxiv created 2012/06/03 · arxiv updated 2012/06/05
We provide a complete classification of hexagonal singular 3-web germs in the complex plane, satisfying the following two conditions: 1) the Chern connection remains holomorphic at the singular point, 2) the web admits at least one infinitesimal symmetry at this point. As a by-product, a classification of hexagonal weighted homogeneous 3-webs is obtained.