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arXiv:1105.1402 [math.DG]AbstractReferencesReviewsResources

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

Sergey Agafonov

Published 2011-05-06, updated 2012-06-03Version 3

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.

Comments: 33 pages, 2 figures
Categories: math.DG, math.CV
Subjects: 53A60, 32S65
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