2 problems

Let $X$ be a projective manifold and let $L$ be a strictly nef line bundle, meaning that $L\cdot C>0$ for every irreducible curve $C\subset X$. Write $N_1(X)$ for the real vector s…

Batyrev's conjecture. Then $h(m\alpha)$, considered as a function of $m$, is bounded above by a polynomial $P(m)$ whose degree is the largest relative dimension of a map