Global geometry of singular holomorphic foliations and distributions
Lefschetz fibrations, Lie groupoids and noncommutative geometry
Full text | |
Author(s): |
Ouaridi, Amir Fernandez
[1]
;
Kaygorodov, Ivan
[2, 3, 4]
;
Khrypchenko, Mykola
[5, 6]
;
Volkov, Yury
[7]
Total Authors: 4
|
Affiliation: | [1] Univ Cadiz, Cadiz - Spain
[2] Univ Fed ABC, CMCC, Santo Andre, SP - Brazil
[3] Univ Porto, CMUP, Fac Ciencias, Porto - Portugal
[4] Moscow Ctr Fundamental & Appl Math, Moscow - Russia
[5] Univ Fed Santa Catarina, Dept Matemat, Florianopolis, SC - Brazil
[6] Univ Nova Lisboa, Dept Matemat, Fac Ciencias & Tecnol, Caparica - Portugal
[7] St Petersburg Univ, St Petersburg - Russia
Total Affiliations: 7
|
Document type: | Journal article |
Source: | Journal of Pure and Applied Algebra; v. 226, n. 3 MAR 2022. |
Web of Science Citations: | 0 |
Abstract | |
We give a complete description of the primary degenerations and non-degenerations between the 3-dimensional nilpotent algebras, the 4-dimensional nilpotent commutative algebras and the 5-dimensional nilpotent anticommutative algebras over C. It follows that all the varieties under consideration are irreducible and determined by the rigid algebra N-2, the family of algebras C-19(alpha) and the rigid algebra A(11), respectively. In particular, as an auxiliary new result, we obtain an algebraic classification of the 4-dimensional complex nilpotent commutative algebras. (C) 2021 Elsevier B.V. All rights reserved. (AU) | |
FAPESP's process: | 18/15712-0 - Conservative algebras and superalgebras |
Grantee: | Ivan Kaygorodov |
Support Opportunities: | Regular Research Grants |