2 problems

Universal entire-curve conjecture. There should be some entire curve $g:\mathbb{C}\rightarrow X$ such that the concentric discs

Brunella's zero–one conjecture. For every entire curve $f:\mathbb{C}\rightarrow X$, one can choose some increasing radii $\{r_i\}_{i\geqslant 1}\nearrow\infty$ such that the obtain…