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Universal entire-curve conjecture for Nevanlinna and Ahlfors currents
Universal entire-curve conjecture. There should be some entire curve $g:\mathbb{C}\rightarrow X$ such that the concentric discs
openentire-curves nevanlinna-currents oka-manifolds
04
The conjecture that compact rationally connected Kähler manifolds are Oka-1
A complex manifold $X$ is rationally connected if every pair of points in $X$ can be connected by a rational curve $\mathbb{CP}^1\to X$ . A compact Kähler manifold is a compact comp…
openkahler-geometry oka-manifolds rationally-connected-varieties
07
Gromov's approximation and interpolation conjectures for elliptic manifolds
Gromov's conjectures. The following assertions hold:
opencomplex-geometry holomorphic-maps oka-manifolds
09

Universal entire-curve conjecture for Nevanlinna and Ahlfors currents