Frobenius 3-Folds via Singular Flat 3-Webs

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Author: Agafonov, S.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148653
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Frobenius 3-Folds via Singular Flat 3-Webs / S.I. Agafonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 13 назв. — англ.

We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following conditions: 1) the web germ admits at least one infinitesimal symmetry, 2) th...