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arXiv 1105.1402math.DGmath.CV
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具有全纯Chern联络和无穷小对称的奇异六角3-网的局部分类

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

Sergey Agafonov

摘要:

本文给出了复平面上六角奇异3-网芽的一个完整分类,它满足以下两个条件:1)Chern联络在奇点处保持全纯; 2)网在奇点处至少有一个无穷小对称性.作为一个副产品,六角加权均匀3-网的分类得到。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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