5 problems

Let $(P,\Xi)$ be a Prym variety associated with a double cover $\pi:\widetilde C\to C$, and let $\Sigma$ be the relevant Prym-theta subvariety. Let $\Gamma_{00}'$ consist of sectio…

Let $X$ be a normal projective variety, and let $D$ be a pseudoeffective $d53d$-Cartier divisor on $X$. The Boucksom–Broustet–Pacienza conjecture. The restricted base locus and the…

Let $X$ be a normal projective variety over an algebraically closed field and let $D$ be an ${\mathbb{R}}$-Cartier ${\mathbb{R}}$-divisor on $X$. The non-nef locus…

Nakamaye–Lang conjecture. The subgroups $H_i$ should appear as the base locus of a linear series as in Theorem 1.1, in the sense that the base locus is described by unions of trans…

Non-nef locus conjecture. There exists an ample divisor $A$ and an infinite sequence $\tau_k\in H^0(kL+A)$ such that $\tau_k(x)\neq 0$.