Local classification of singular hexagonal 3-webs with holomorphic Chern connection and infinitesimal symmetries
Differential Geometry
2012-06-05 v3 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.1105.1402,
title = {Local classification of singular hexagonal 3-webs with holomorphic Chern connection and infinitesimal symmetries},
author = {Sergey Agafonov},
journal= {arXiv preprint arXiv:1105.1402},
year = {2012}
}
Comments
33 pages, 2 figures