A criterion of algebraicity for parabolic Stein manifolds

A fundamental result in the theory of several complex variables guarantees that any Stein manifold admits a proper embedding into a complex Euclidean space of sufficiently large dimension. A natural problem is to determine when this embedding can be realised in algebraic form, i.e., when the manifold can be represented as the common zero set of finitely many polynomials. In this talk, we present a criterion for the algebraic embeddability of parabolic Stein manifolds.