2 problems

Let $S$ be a minimal surface of general type with Albanese dimension $2$ and irregularity $q(S)\ge 4$. The q≥4 conjecture. Then … Moreover, equality holds if and only if $S$ is a p…

Let $S$ be a minimal surface of general type with Albanese dimension $2$ and irregularity $q(S)=3$. The q=3 conjecture. Then … and equality holds if and only if $S$ is the symmetri…