Local classification of singular hexagonal 3-webs with holomorphic Chern connection and infinitesimal symmetries

Details Local classification of singular hexagonal 3-webs with holomorphic Chern connection and infinitesimal symmetries Local classification of singular hexagonal 3-webs with holomorphic Chern connection and infinitesimal symmetries

2011-05-06

arxiv.org/abs/1105.1402v2

Mathematics

Differential Geometry

30 pages, 2 figures

Scientific paper

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.

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