2 problems

Let $N>0$, let $I$ be the interval under consideration, and let $f:[0,N]\to[0,N]$ be a strictly convex function such that $f\in C^3([0,N])$ and $f^{(3)}(x)\neq 0$ for all…

Let $X\subseteq \mathbb{P}_{\mathbb{Q}}^{n}$ be an integral projective variety of degree $d\geq 2$. Let $H$ be the absolute projective multiplicative height. Dimension growth conje…