Frobenius 3-Folds via Singular Flat 3-Webs
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148653 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862731967854804992 |
|---|---|
| author | Agafonov, S.I. |
| author_facet | Agafonov, S.I. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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) the Chern connection form is holomorphic, 3) the curvature form vanishes identically.
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| first_indexed | 2025-12-07T19:29:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148653 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:29:29Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Agafonov, S.I. 2019-02-18T17:34:30Z 2019-02-18T17:34:30Z 2012 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. 1815-0659 DOI: http://dx.doi.org/10.3842/SIGMA.2012.078 2010 Mathematics Subject Classification: 53A60; 53D45; 34M35 https://nasplib.isofts.kiev.ua/handle/123456789/148653 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) the Chern connection form is holomorphic, 3) the curvature form vanishes identically. This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html.
 This research was partially supported by MCT/CNPq/MEC/CAPES – Grant 552758/2011-6. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Frobenius 3-Folds via Singular Flat 3-Webs Article published earlier |
| spellingShingle | Frobenius 3-Folds via Singular Flat 3-Webs Agafonov, S.I. |
| title | Frobenius 3-Folds via Singular Flat 3-Webs |
| title_full | Frobenius 3-Folds via Singular Flat 3-Webs |
| title_fullStr | Frobenius 3-Folds via Singular Flat 3-Webs |
| title_full_unstemmed | Frobenius 3-Folds via Singular Flat 3-Webs |
| title_short | Frobenius 3-Folds via Singular Flat 3-Webs |
| title_sort | frobenius 3-folds via singular flat 3-webs |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148653 |
| work_keys_str_mv | AT agafonovsi frobenius3foldsviasingularflat3webs |