5 problems

Let $(X, D_\epsilon = \sum_{\alpha \in \mathcal A} \epsilon_\alpha D_\alpha)$ be a klt Fano Campana orbifold over a number field $F$, let $L$ be a big $\mathbb Q$-divisor on $X$, a…

Let $X$ be a smooth projective variety over $\a9\mathbb{C}$ and let $D$ be a strict normal crossings divisor on $X$ with irreducible components $D_1,\ldots,D_q$. For each…

Let $(X,D)$ be a klt Campana orbifold over $K$ with a good integral model $(\mathcal{X},\mathcal{D})$ over $\mathcal{O}_{K,S}$. Let $H_{\mathcal{L}}$ be the height associated with…

Let $K$ be a number field, let $(X,D_{\epsilon})$ be a smooth klt Fano Campana orbifold over $K$, and let $(\mathcal{X},\mathcal{D}_{\epsilon})$ be a regular $\mathcal{O}_{K,S}$-mo…

Let $(X,D_\epsilon)$ be a Campana orbifold over a number field $F$ such that $-(K_X+D_\epsilon)$ is ample, and let $(\mathcal X,\mathcal D_\epsilon)$ be a good integral model over…