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We describe all degenerations of three-dimensional anticommutative algebras 
$\mathfrak{A}\mathfrak{c}\mathfrak{o}\mathfrak{m}_{3}$ and of three-dimensional Leibniz algebras 
$\mathfrak{L}\mathfrak{e}\mathfrak{i}\mathfrak{b}_{3}$ over 
$\mathbb{C}$. In particular, we describe all irreducible components and rigid algebras in the corresponding varieties.
