The algebraic and geometric classification of transposed δ-Poisson algebras

The algebraic and geometric classifications of complex 3-dimensional transposed [Formula: see text]-Poisson algebras are given. Namely, we prove that the variety of complex 3-dimensional transposed [Formula: see text]-Poisson algebras has dimension 9 and 7 irreducible components for [Formula: see text] the variety of complex 3-dimensional transposed (-1)-Poisson algebras has dimension 9 and 5 irreducible components; the variety of complex 3-dimensional transposed 0-Poisson algebras has dimension