The algebraic and geometric classification of right alternative superalgebras

The algebraic and geometric classifications of complex $3$-dimensional right alternative superalgebras are given. As a byproduct, we have the algebraic and geometric classification of the variety of $3$-dimensional $\mathfrak{p}\mathfrak{e}\mathfrak{r}\mathfrak{m}$, binary $\mathfrak{p}\mathfrak{e}\mathfrak{r}\mathfrak{m}$, associative, binary associative, $(-1,1)$-, and binary $(-1,1)$-superalgebras.