Kaygorodov, IvanKhrypchenko, MykolaLopes, Samuel A.2023-02-062023-02-062020-080022-4049PURE: 31971404PURE UUID: 418b3dc6-30d9-44c0-b07c-b982f84aa4ffScopus: 85079430473WOS: 000521510500008http://hdl.handle.net/10362/148750The first part of this work is supported by the Russian Science Foundation under grant 18-71-10007 . The second part of this work was supported by CNPq 404649/2018-1 ; FAPESP 18/09299-2 , 18/15712-0.We give algebraic and geometric classifications of 6-dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are 14 one-parameter families of 6-dimensional nilpotent anticommutative algebras, complemented by 130 additional isomorphism classes. The corresponding geometric variety is irreducible and determined by the Zariski closure of a one-parameter family of algebras. In particular, there are no rigid 6-dimensional complex nilpotent anticommutative algebras.398623engAlgebraic classificationAnticommutative algebraGeometric classificationNilpotent algebraAlgebra and Number Theoryjournal article10.1016/j.jpaa.2020.106337https://www.scopus.com/pages/publications/85079430473