We give a geometric classification of complex 4-dimensional nilpotent ℭ𝔇-algebras. The corresponding geometric variety has dimension 18 and decomposes into 2 irreducible components determined by the Zariski closures of a two-parameter family of algebras and a four-parameter family of algebras. In particular, there are no rigid 4-dimensional complex nilpotent ℭ𝔇-algebras.

中文翻译：

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幂零ℭ𝔇-代数的几何分类

我们给出复杂的几何分类4维幂零ℭ𝔇-代数。对应的几何变体的维数为 18 并分解为2由两参数代数族和四参数代数族的 Zariski 闭包确定的不可约分量。特别是没有刚性4维复幂幂ℭ𝔇-代数。