Irreducible Components of the Varieties of Jordan Superalgebras of Types $(1,3)$ and $(3,1)$

Isabel Hernández, María Eugenia Martin, Rodrigo Lucas Rodrigues

We describe the variety of Jordan superalgebras of dimension $4$ whose even part is a Jordan algebra of dimension $1$ or $3$. We prove that the variety is the union of Zariski clos…