The algebraic and geometric classification of semi-alternative superalgebras

The algebraic and geometric classifications of complex $3$-dimensional semi-alternative superalgebras are given. As corollaries, we obtain the algebraic and geometric classifications of complex $3$-dimensional $\mathfrak{p}\mathfrak{e}\mathfrak{r}\mathfrak{m}$, associative, and assosymmetric superalgebras.