2 problems

Let $\Gamma<\operatorname{PU}(n,1)$ be a discrete, torsion-free subgroup, let $\delta_\Gamma$ be its critical exponent, and let $k$ denote the dimension of a compact complex subvar…

Let $T$ be a compact hyperkähler torus, and let $L$ be a generic induced complex structure. All complex subvarieties of $T$ are again tori. The conjecture concerns analogous behavi…