3 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 $t<1$…

Let $\mu$ be a complex number that is not a root of unity and $|\mu|=1$. A number $\mu$ is Brjuno when it satisfies the Brjuno condition referred to in the source. Let $Q_{\gamma}$…

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