2 problems

Let $X$ be a weak Fano variety over a number field $F$, let $H:X(F)\rightarrow \mathbb{R}$ be an anticanonical height function, and for $B\geq 0$ and $U\subseteq X(F)$ define … Let…

Let a variety be equipped with the setting of Manin's conjecture, and let its thin set be the exceptional subset occurring in the counting problem. A subset is non-Zariski dense if…