4 problems

Let $X$ be a projective manifold that is rationally connected, meaning that any two points of $X$ can be joined by a rational curve. Let Oka-1 denote the property that, for every o…

Gromov's conjecture. The Oka property and Gromov's Condition $\mathrm{Ell}_{1}$ are equivalent for complex manifolds.

Let $G$ be a reductive group acting on a complex manifold $Y$. Assume that $Y$ is $G$-Oka and let $X$ be a Stein $G$-manifold. The $G$-homotopy Runge property is the equivariant an…

Let $G$ be a reductive complex Lie group acting on a Stein manifold $X$ and on a complex manifold $Y$. Suppose that $Y$ is $G$-Oka, meaning that it has the equivariant Oka property…