Degenerations of Leibniz and anticommutative algebras

Abstract

We describe all degenerations of three dimensional anticommutative algebras ${\mathfrak{Acom}}_3$ and of three dimensional Leibniz algebras ${\mathfrak{Leib}}_3$ over $\mathbb{C}.$ In particular, we describe all irreducible components and rigid algebras in the corresponding varieties

arXiv admin note: substantial text overlap with arXiv:1611.06454, arXiv:1707.08836, arXiv:1705.04346