%0 Journal Article %T Local classification of singular hexagonal 3-webs with holomorphic Chern connection and infinitesimal symmetries %A Sergey Agafonov %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1105.1402v3