2 problems

Weak Hilbert property conjecture for geometric fibrations. In the situation above, $Y$ has WHP over $K$.

Fibration conjecture for WHP. (a) Let $\Xi$ be the set of all $z\in Z(K)$ such that $Y_z$ has WHP over $K$. If $\Xi$ is not strongly thin in $Z$, then $Y$ has WHP over $K$. (b) If…