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 $Q_{\gamma}$…

Let $M$subset ${\mathcal M}$ be a smooth real submanifold of a Stein manifold ${\mathcal M}$, and let $p$ be an elliptic CR singular point of $M$. Denote by $\widehat{M}$ the local…