5 problems

Polynomial-convexity and analytic-disc conjecture. The surface $M_t$ is locally polynomially convex if $t>1$. The local polynomial hull of $M_t$ contains an analytic disc for $t<1$…

Polynomial convexity conjecture. The domain ${\mathcal C}$ is polynomially convex.

Second conjecture. The disc $K$ is polynomially convex if

Let $M_t$ be the real surface under consideration, parametrized by the parameter $t$. A surface is locally polynomially convex at a point if sufficiently small compact neighbourhoo…

Maslov-index criterion. The surface $\mathcal{S}$ is locally polynomially convex at $p$ if and only if