Erlend F. Wold

collaborators

2 papers

math.CV2025

Polynomial convexity of $\partial ˉ$ -flat perturbations of totally real sets

Leandro Arosio, Håkan Samuelsson Kalm, Erlend F. Wold

We show that if $X$ is a totally real $d$ -dimensional manifold attached to a polynomially convex compact set $K$ in $C^{n}$ , $d < n$ , then there are arbitrarily small perturba…

math.CV2025

The polynomially convex embedding dimension of real manifolds of dimension $\leq 11$

Leandro Arosio, Håkan Samuelsson Kalm, Erlend F. Wold

We show that any compact smooth real $n$ -dimensional manifold $M$ with $n \leq 11$ can be smoothly embedded into $C^{n + 1}$ as a polynomially convex set. In general, there i…

Polynomial convexity of ∂ˉ-flat perturbations of totally real sets

The polynomially convex embedding dimension of real manifolds of dimension ≤11

Polynomial convexity of $\partial ˉ$ -flat perturbations of totally real sets

The polynomially convex embedding dimension of real manifolds of dimension $\leq 11$