2 problems

Let $X$ be a projective irreducible holomorphic symplectic manifold, and let a polarization on $X$ determine degrees of curves. The unbounded-degree ruled-divisors conjecture. $X$…

Let $(X,H)$ be a projective irreducible holomorphic symplectic manifold over the complex numbers, with $H$ a polarization. The rational curves conjecture for projective IHS manifol…